Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.0s (13.8%)

Memory

22.7MiB live, 1 656.6MiB allocated

Samples

722.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 533.0ms

ival-mult: 417.0ms (78.2% of total)

ival-sub: 69.0ms (12.9% of total)

ival-add: 37.0ms (6.9% of total)

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

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

Bogosity

explain188.0ms (2.6%)

Memory

5.1MiB live, 296.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
16	-	-	`(-.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))`
11	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	18	0
`-.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	16	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	99
↳	`(*.f64 x.re x.re)`	overflow	58
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	101
↳	`(*.f64 x.im x.im)`	overflow	54
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	47
↳	`(*.f64 x.im x.re)`	overflow	24
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	24
↳	`(*.f64 x.re x.im)`	overflow	24
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	11	0
↳	`(*.f64 x.re x.re)`	overflow	58
↳	`(*.f64 x.im x.im)`	overflow	54

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	35
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 22.0ms (62.8% of total)

ival-sub: 10.0ms (28.6% of total)

ival-add: 2.0ms (5.7% of total)

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

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

preprocess334.0ms (4.6%)

Memory

12.5MiB live, 327.8MiB 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))

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 19 to 11 computations (42.1% saved)

simplify359.0ms (4.9%)

Memory

-60.8MiB live, 286.2MiB 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	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	512	(-.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	50

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

localize43.0ms (0.6%)

Memory

-1.6MiB live, 37.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.4999876149812352	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	3.2773437500000004	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	4.328328833061458	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

Samples

20.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 9.0ms (74.4% of total)

ival-sub: 2.0ms (16.5% of total)

ival-add: 1.0ms (8.3% of total)

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

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

series14.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB 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 (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 (* 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 (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 (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 (* 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 (* (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 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 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 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 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 (* (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 -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 -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 -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 -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 (* 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 (* 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 (* -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 (* -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 (* 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 (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 (* 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 (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 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 (* 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 (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 (* 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 (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 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 (* 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>) () ())) ())

Calls

6 calls:

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

simplify152.0ms (2.1%)

Memory

7.1MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 920×	`lower-fma.f64`
12 920×	`lower-fma.f32`
2 972×	`lower-*.f64`
2 972×	`lower-*.f32`
1 386×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	852
1	169	852
2	519	852
3	2111	852
4	5812	852
0	8263	834

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

rewrite73.0ms (1%)

Memory

-27.3MiB live, 49.5MiB 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 (hypot.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (hypot.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
(/.f64 (neg.f64 (hypot.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (neg.f64 (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im) (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(+.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.re (+.f64 x.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (.f64 x.im x.re)))
(+.f64 (.f64 x.im x.re) (.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 x.im x.re)))
(.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x.im x.re) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im)) (.f64 (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (hypot.f64 x.im x.re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (hypot.f64 x.im x.re))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 #s(literal -1 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (hypot.f64 x.im x.re)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (hypot.f64 x.im x.re)))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(+.f64 (.f64 (neg.f64 x.im) x.im) (.f64 x.re x.re))
(+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re)
(.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (hypot.f64 x.im x.re))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (hypot.f64 x.im x.re))
(/.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 x.re x.re) x.re (.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fma.f64 x.re (.f64 x.re x.re) (.f64 x.re (*.f64 (neg.f64 x.im) x.im)))
(+.f64 (.f64 (.f64 x.re x.re) x.re) (.f64 (.f64 (neg.f64 x.im) x.im) x.re))
(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 (neg.f64 x.im) x.im)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (.f64 x.im x.re) x.im (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 x.im (.f64 x.im x.re) (.f64 x.im (*.f64 x.im x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (.f64 (.f64 x.im x.re) x.im) (.f64 (.f64 x.im x.re) x.im))
(+.f64 (.f64 x.im (.f64 x.im x.re)) (.f64 x.im (.f64 x.im x.re)))

eval18.0ms (0.3%)

Memory: 23.3MiB live, 23.3MiB allocated
Compiler: Compiled 4 245 to 331 computations (92.2% saved)

prune30.0ms (0.4%)

Memory

-17.3MiB live, 21.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	206	6	212
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	207	6	213

Accuracy

99.9%

Counts

213 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.6%	(-.f64 (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (neg.f64 x.im) x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	33.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
▶	48.1%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	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)))
▶	88.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	54.7%	#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 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 180 to 124 computations (31.1% saved)

simplify443.0ms (6.1%)

Memory

6.7MiB live, 205.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(fma.f64 (.f64 x.re x.re) x.re (.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
cost-diff	6656	(-.f64 (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (neg.f64 x.im) x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	320	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.im)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) 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 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
cost-diff	0	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re 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 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))

Rules

19 548×	`lower-fma.f32`
19 544×	`lower-fma.f64`
2 792×	`lower-*.f32`
2 770×	`lower-*.f64`
2 116×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	281
0	53	268
1	98	252
2	170	249
3	341	229
4	885	229
5	2651	229
6	4729	229
7	6366	229
8	7449	229
9	7923	229
10	7953	229
11	7953	229
0	8063	223

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

localize115.0ms (1.6%)

Memory

24.7MiB live, 99.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x.re #s(literal 3 binary64))
accuracy	25.31797357979007	#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)))
accuracy	0.14453125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.2773437500000004	(-.f64 (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (neg.f64 x.im) x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	4.785141112586796	(fma.f64 (.f64 x.re x.re) x.re (.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
accuracy	8.550380927501385	(.f64 (.f64 (neg.f64 x.im) x.im) x.re)
accuracy	0.14453125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.2773437500000004	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	4.328328833061458	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
accuracy	30.39417369296882	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy	0	(*.f64 x.im x.re)
accuracy	0.14453125	(.f64 (.f64 x.im x.re) x.im)
accuracy	0.16796875	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	28.898123268358354	#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 (*.f64 x.im x.re) x.im)))
accuracy	0	(*.f64 x.im x.im)
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy	2.5742063649812352	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	4.358932887964687	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)

Samples

93.0ms

256×

valid

Compiler

Compiled 249 to 27 computations (89.2% saved)

Precisions

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

ival-mult: 49.0ms (81.7% of total)

ival-sub: 3.0ms (5% of total)

ival-add: 3.0ms (5% of total)

ival-pow: 3.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

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

series90.0ms (1.2%)

Memory

-38.0MiB live, 47.9MiB allocated

Counts

19 → 420

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* (neg x.im) x.im) x.re))
3.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* (neg x.im) x.im) x.re))
3.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* (neg x.im) x.im) x.re))
2.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* (neg x.im) x.im) x.re))
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* (neg x.im) x.im) x.re))

simplify288.0ms (4%)

Memory

0.3MiB live, 159.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 666×	`lower-fma.f64`
17 666×	`lower-fma.f32`
3 950×	`lower-*.f64`
3 950×	`lower-*.f32`
1 678×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	3039
1	237	3039
2	689	3039
3	2820	3039
4	6713	3039
0	8174	2907

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

rewrite82.0ms (1.1%)

Memory

29.4MiB live, 65.1MiB allocated

Rules

1 076×	`lower-fma.f32`
1 072×	`lower-fma.f64`
772×	`lower-*.f32`
750×	`lower-*.f64`
338×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	226
0	53	222
1	192	194
0	1205	189

Stop Event

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

Counts

19 → 219

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 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
(.f64 (.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
(-.f64 (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (neg.f64 x.im) x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 x.re x.re) x.re (.f64 (*.f64 (neg.f64 x.im) x.im) 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)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 (.f64 (neg.f64 x.im) 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 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
(/.f64 (.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) x.re) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (.f64 x.re (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
(/.f64 (.f64 x.re (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.re (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (.f64 x.re x.re) x.re (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.re x.re) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 x.re (.f64 x.re x.re) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(+.f64 (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
(fma.f64 x.im (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.re))
(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))
(+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.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 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))
(.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
(.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
(.f64 (.f64 x.im x.re) x.im)
(.f64 (.f64 x.im x.im) x.re)
(.f64 x.im (.f64 x.im x.re))
(.f64 x.re (.f64 x.im x.im))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(.f64 (hypot.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) #s(literal 3/2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) (.f64 x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))))
(/.f64 (neg.f64 (hypot.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (neg.f64 (fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (hypot.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))))
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(fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (fma.f64 (.f64 (neg.f64 x.im) x.im) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))
(+.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))
(+.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
(.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (*.f64 x.im x.re) x.im))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (neg.f64 x.im) x.im)))))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re)
(.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (hypot.f64 x.im x.re))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (hypot.f64 x.im x.re))
(/.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (.f64 x.im x.im) (hypot.f64 x.im x.re) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im x.re) x.im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64)))) (neg.f64 (-.f64 (hypot.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (neg.f64 x.im) x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im x.re) x.im)) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (neg.f64 x.im) x.im))) (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im x.re) x.im)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (neg.f64 x.im) x.im)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (-.f64 (hypot.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (neg.f64 x.im) x.im))))
(fma.f64 (*.f64 x.re (neg.f64 x.im)) x.im (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.re) x.im (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) x.re))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.re (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (neg.f64 x.im) (*.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im x.re) (neg.f64 x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.re) x.re (.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fma.f64 x.im (*.f64 (neg.f64 x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.re x.re) (.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im x.re) x.im))) (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im x.re) x.im))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) x.re))
(+.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x.re) #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)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(.f64 (.f64 x.re x.re) x.re)
(.f64 x.re (.f64 x.re x.re))
(pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 3/2 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (.f64 x.im x.re) x.im (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (.f64 x.im x.im) x.re (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 x.im (.f64 x.im x.re) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 x.re (.f64 x.im x.im) (.f64 (*.f64 x.im x.re) x.im))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (.f64 (.f64 x.im x.re) x.im) (.f64 (.f64 x.im x.re) x.im))
(.f64 (.f64 x.re (neg.f64 x.im)) x.im)
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x.im x.re) x.im))
(.f64 (.f64 (neg.f64 x.im) x.im) x.re)
(.f64 (neg.f64 x.im) (.f64 x.im x.re))
(.f64 (.f64 x.im x.re) (neg.f64 x.im))
(.f64 x.im (.f64 (neg.f64 x.im) x.re))
(.f64 x.re (.f64 (neg.f64 x.im) x.im))
(neg.f64 (.f64 (.f64 x.im x.re) x.im))

eval134.0ms (1.8%)

Memory: -1.7MiB live, 120.3MiB allocated
Compiler: Compiled 13 043 to 723 computations (94.5% saved)

prune58.0ms (0.8%)

Memory

3.5MiB live, 78.7MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	782	9	791
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	785	12	797

Accuracy

100.0%

Counts

797 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(-.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im x.re) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	48.1%	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) 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)))
▶	34.3%	#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 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
▶	90.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
✓	88.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
	54.7%	#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 #s(literal -3 binary64) x.im) x.re) x.im))
▶	60.4%	#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 x.re) x.re))
▶	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
	73.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im x.im))) x.re))
✓	54.7%	#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 (*.f64 x.im x.re) x.im)))
	48.1%	#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 (*.f64 x.im x.im) x.re)))

Compiler

Compiled 261 to 196 computations (24.9% saved)

simplify414.0ms (5.7%)

Memory

-5.7MiB live, 237.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 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)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
cost-diff	256	(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
cost-diff	0	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re))
cost-diff	0	(*.f64 #s(literal -3 binary64) x.im)
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) 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.re) (*.f64 #s(literal -3 binary64) x.im)))
cost-diff	-5824	(.f64 (.f64 x.re x.re) x.re)
cost-diff	0	(*.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 (.f64 x.re x.re) x.re))
cost-diff	0	(*.f64 #s(literal -3 binary64) x.im)
cost-diff	0	(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))

Rules

17 552×	`lower-fma.f32`
17 548×	`lower-fma.f64`
3 534×	`lower-*.f32`
3 510×	`lower-*.f64`
1 824×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	298
0	64	295
1	119	281
2	211	276
3	426	246
4	1002	246
5	2837	246
6	5219	246
7	7701	246
0	8021	239

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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.im
(*.f64 x.re 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 x.re x.re) x.re))
(.f64 (.f64 x.re x.re) x.re)
(*.f64 x.re 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 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
(.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.im x.re)
x.im
x.re
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
#s(literal -3 binary64)
(*.f64 x.im x.im)
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)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(pow.f64 x.re #s(literal 4 binary64))
x.re
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
(*.f64 (neg.f64 x.re) x.re)
(neg.f64 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.im
(*.f64 x.re 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 x.re x.re) x.re))
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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 x.re x.re) x.re)
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re 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 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 x.im x.re)
x.im
x.re
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re))
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x.im x.im)
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)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (/.f64 x.re (+.f64 (hypot.f64 x.im x.re) (hypot.f64 x.im x.im))) (fma.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
(*.f64 (/.f64 x.re (+.f64 (hypot.f64 x.im x.re) (hypot.f64 x.im x.im))) (fma.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)
(*.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 x.re))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(pow.f64 x.re #s(literal 4 binary64))
x.re
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))
(neg.f64 (+.f64 (hypot.f64 x.im x.re) (hypot.f64 x.im x.im)))
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
(*.f64 (neg.f64 x.re) x.re)
(neg.f64 x.re)

localize209.0ms (2.9%)

Memory

0.7MiB live, 113.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08660126953688403	(*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	2.1498657112636574	(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)
accuracy	6.792935723283294	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
accuracy	36.87025949515737	(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.1484375	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
accuracy	8.583504822261986	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
accuracy	28.898123268358354	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re))
accuracy	0	(*.f64 x.im x.re)
accuracy	0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.22103500976844204	(.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
accuracy	28.898123268358354	#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 #s(literal -3 binary64) x.im)))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.08203125	(.f64 (.f64 x.re x.re) x.re)
accuracy	25.31797357979007	#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 x.re) x.re))
accuracy	0	(*.f64 #s(literal -3 binary64) 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
accuracy	1.5702959856333614	(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
accuracy	4.358932887964687	(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)

Samples

186.0ms

256×

valid

Compiler

Compiled 249 to 38 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-add: 50.0ms (56.2% of total)

ival-mult: 26.0ms (29.2% of total)

ival-pow: 5.0ms (5.6% of total)

ival-sub: 4.0ms (4.5% of total)

ival-div: 2.0ms (2.2% of total)

ival-neg: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series130.0ms (1.8%)

Memory

-11.0MiB live, 68.2MiB allocated

Counts

19 → 384

Calls

Call 1

Inputs
#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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) (patch (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 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.re 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 (.f64 x.re x.re) x.re)) #<representation:binary64>) () ())
#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 x.re x.re) x.re) (patch (.f64 (.f64 x.re 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 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im))) (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 #s(literal -3 binary64) x.im))) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) (patch (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) #<representation:binary64>) () ())
#s(alt (.f64 x.im x.re) (patch (.f64 x.im x.re) #<representation:binary64>) () ())
#s(alt #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) (patch #s(approx (- (+ ( (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (patch (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) #<representation:binary64>) () ())
#s(alt (.f64 x.im x.im) (patch (.f64 x.im x.im) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (patch (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))) #<representation:binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) #<representation:binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #<representation:binary64>) () ())

Outputs
#s(alt (pow x.re 3) (taylor 0 x.im) (#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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re 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 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re 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 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re 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 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) #<representation:binary64>) () ())) ())
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#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re x.re) x.re) (patch (.f64 (.f64 x.re x.re) x.re) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re x.re) x.re) (patch (.f64 (.f64 x.re x.re) x.re) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re x.re) x.re) (patch (.f64 (.f64 x.re x.re) x.re) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re x.re) x.re) (patch (.f64 (.f64 x.re 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)) (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im))) (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 #s(literal -3 binary64) 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 #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 #s(literal -3 binary64) x.im))) (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 #s(literal -3 binary64) 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 #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 #s(literal -3 binary64) x.im))) (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 #s(literal -3 binary64) 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 #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 #s(literal -3 binary64) x.im))) (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 #s(literal -3 binary64) x.im))) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) (patch (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) (patch (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) (patch (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) (patch (.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im)) #<representation:binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.re) (#s(alt (.f64 x.im x.re) (patch (.f64 x.im x.re) #<representation:binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.re) (#s(alt (.f64 x.im x.re) (patch (.f64 x.im x.re) #<representation:binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.re) (#s(alt (.f64 x.im x.re) (patch (.f64 x.im x.re) #<representation:binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.re) (#s(alt (.f64 x.im x.re) (patch (.f64 x.im x.re) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) (patch #s(approx (- (+ ( (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) #<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 #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) (patch #s(approx (- (+ ( (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) #<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 #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) (patch #s(approx (- (+ ( (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) #<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 #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) (patch #s(approx (- (+ ( (* x.re x.re) x.re) (* (* (neg 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.im)) x.re)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (patch (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (patch (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (patch (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (patch (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))) #<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 #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 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))) #<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 #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 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))) #<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 #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 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x.re 5)) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x.re 4)) (taylor -inf x.re) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)) (taylor -inf x.re) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)) (taylor -inf x.re) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)) (taylor -inf x.re) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) #<representation:binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
96.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* 9 (pow x.im 4)))
5.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* 9 (pow x.im 4)))
3.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* 9 (pow x.im 4)))
3.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* 9 (pow x.im 4)))
3.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* 9 (pow x.im 4)))

simplify162.0ms (2.2%)

Memory

8.8MiB live, 176.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 008×	`lower-fma.f64`
10 008×	`lower-fma.f32`
4 466×	`lower-*.f64`
4 466×	`lower-*.f32`
1 864×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	2946
1	284	2934
2	758	2934
3	2910	2934
4	7949	2934
0	8218	2778

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(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.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))
(pow x.re 2)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(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.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))
(* -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)
(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))
(* -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))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(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))
(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))
(* -1 (pow x.re 5))
(+ (* -1 (pow x.re 5)) (* 9 (* (pow x.im 4) x.re)))
(+ (* -1 (pow x.re 5)) (* 9 (* (pow x.im 4) x.re)))
(+ (* -1 (pow x.re 5)) (* 9 (* (pow x.im 4) x.re)))
(* -1 (pow x.re 4))
(- (* 9 (pow x.im 4)) (pow x.re 4))
(- (* 9 (pow x.im 4)) (pow x.re 4))
(- (* 9 (pow x.im 4)) (pow x.re 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* (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))
(* (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))
(* (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 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* (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))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im 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))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(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))))
(* (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)))
(* 9 (* (pow x.im 4) x.re))
(* (pow x.im 4) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (* 9 x.re)))
(* (pow x.im 4) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (* 9 x.re)))
(* (pow x.im 4) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (* 9 x.re)))
(* 9 (pow x.im 4))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* (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))
(* (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))
(* (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 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* (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))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im 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))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(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))))
(* (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)))
(* 9 (* (pow x.im 4) x.re))
(* (pow x.im 4) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (* 9 x.re)))
(* (pow x.im 4) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (* 9 x.re)))
(* (pow x.im 4) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (* 9 x.re)))
(* 9 (pow x.im 4))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 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))))
(* -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)))
(* -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))
(* 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 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(* 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))))
(* -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.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))))
(* -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.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)))
(* 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))))
(* 9 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4))))
(* x.re (+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4))))
(* x.re (+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4))))
(* 9 (pow x.im 4))
(+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))
(+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))
(+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))
(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)
(* (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 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 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 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(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 (* -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)))))
(* -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)
(pow x.re 3)
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* -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.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)
(* (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)))))
(* -1 (pow x.re 5))
(* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* -1 (pow x.re 4))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(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)
(* -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 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 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 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(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)))))))
(* -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)
(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)))))))
(* -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.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)
(* -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)))))))
(* -1 (pow x.re 5))
(* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))))
(* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))))
(* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))))
(* -1 (pow x.re 4))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))

Outputs
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* -1 (pow x.re 5))
(neg.f64 (pow.f64 x.re #s(literal 5 binary64)))
(+ (* -1 (pow x.re 5)) (* 9 (* (pow x.im 4) x.re)))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64)))) x.re)
(+ (* -1 (pow x.re 5)) (* 9 (* (pow x.im 4) x.re)))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64)))) x.re)
(+ (* -1 (pow x.re 5)) (* 9 (* (pow x.im 4) x.re)))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64)))) x.re)
(* -1 (pow x.re 4))
(neg.f64 (pow.f64 x.re #s(literal 4 binary64)))
(- (* 9 (pow x.im 4)) (pow x.re 4))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(- (* 9 (pow x.im 4)) (pow x.re 4))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(- (* 9 (pow x.im 4)) (pow x.re 4))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(* 9 (pow x.im 4))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
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(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 3)
(pow.f64 x.re #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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(* -1 (pow x.re 5))
(neg.f64 (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (pow x.re 4))
(neg.f64 (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))

rewrite83.0ms (1.1%)

Memory

2.3MiB live, 122.0MiB allocated

Rules

1 530×	`lower-fma.f32`
1 526×	`lower-fma.f64`
984×	`lower-*.f32`
960×	`lower-*.f64`
468×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	253
0	64	224
1	242	204
0	1529	199

Stop Event

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

Counts

19 → 245

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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(*.f64 #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 x.re) x.re))
(*.f64 x.re x.re)
(.f64 (.f64 x.re 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 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
(.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.im x.re)
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(*.f64 x.im x.im)
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))

Outputs
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.re) (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (neg.f64 (pow.f64 x.re #s(literal 6 binary64))))) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(.f64 (/.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re))) (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(.f64 (pow.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) #s(literal -1 binary64)) (.f64 (-.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.re))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re))
(.f64 (.f64 (neg.f64 x.re) (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re)))))
(.f64 (.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.re) (pow.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re))))
(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) x.re) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))) (/.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)))) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (/.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 x.re (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.re) #s(literal 1 binary64)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re)))
(/.f64 (neg.f64 (.f64 (neg.f64 x.re) (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))) x.re) (.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 12 binary64))) x.re) (.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)))
(/.f64 (.f64 (neg.f64 x.re) (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)))
(neg.f64 (/.f64 (.f64 (neg.f64 x.re) (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re))))
(neg.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.re) (neg.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)))))
(fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 (.f64 x.im x.re) x.im) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
(fma.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.re (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im)))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.re x.re) (.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im)))
(+.f64 (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
(.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 (pow.f64 x.re #s(literal 6 binary64)))) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (-.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) (neg.f64 x.re)))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (neg.f64 (.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) (neg.f64 x.re)))
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(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))) (-.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 729 binary64) (pow.f64 (neg.f64 (pow.f64 x.re #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 (pow.f64 x.re #s(literal 4 binary64)))) (.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (pow.f64 x.re #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 12 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (.f64 x.im x.im) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.im x.im)) #s(literal -3 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.im x.im)) #s(literal -3 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) x.im)) x.im (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) x.im)) x.im (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal -3 binary64)) (.f64 x.im x.im) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.im) (.f64 #s(literal -3 binary64) x.im) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.im) (.f64 #s(literal -3 binary64) x.im) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 #s(literal -3 binary64) x.im)) (.f64 x.im x.im) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 #s(literal -3 binary64) x.im)) (.f64 x.im x.im) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 x.re) x.re) (.f64 x.re x.re) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 x.im x.im) (.f64 (*.f64 x.im x.im) #s(literal 9 binary64)) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 x.im x.im) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 #s(literal -3 binary64) x.im)) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 x.im x.im) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 #s(literal -3 binary64) x.im)) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.re) x.re) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(fma.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (neg.f64 (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (.f64 (neg.f64 x.re) x.re)))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (.f64 x.im x.im))
(.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.im x.im)) #s(literal -3 binary64))
(.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 #s(literal -3 binary64) x.im)) x.im)
(.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal -3 binary64)) (*.f64 x.im x.im))
(.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.im) (*.f64 #s(literal -3 binary64) x.im))
(.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.im))
(.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))
(.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(.f64 (.f64 x.im x.im) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 #s(literal -3 binary64) x.im)))
(.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64))

eval104.0ms (1.4%)

Memory: 18.2MiB live, 129.7MiB allocated
Compiler: Compiled 10 156 to 829 computations (91.8% saved)

prune83.0ms (1.2%)

Memory

3.8MiB live, 121.1MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	669	4	673
Fresh	2	2	4
Picked	2	3	5
Done	0	3	3
Total	673	12	685

Accuracy

100.0%

Counts

685 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(-.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im x.re) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	54.7%	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
▶	48.1%	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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)))
✓	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)))
▶	34.7%	#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 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
▶	88.6%	#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 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))))
✓	90.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
✓	88.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	54.7%	#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 #s(literal -3 binary64) x.im) x.re) x.im))
✓	60.4%	#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 x.re) x.re))
✓	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
✓	54.7%	#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 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 252 to 174 computations (31% saved)

simplify240.0ms (3.3%)

Memory

-39.2MiB live, 291.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
cost-diff	3328	(/.f64 (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
cost-diff	0	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
cost-diff	0	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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)))
cost-diff	0	(*.f64 #s(literal -3 binary64) x.im)
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) 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 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
cost-diff	0	(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)))

Rules

18 232×	`lower-fma.f32`
18 226×	`lower-fma.f64`
4 410×	`lower-*.f32`
4 384×	`lower-*.f64`
2 536×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	391
0	68	337
1	142	327
2	301	322
3	862	292
4	3132	292
0	8557	292

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

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

localize163.0ms (2.2%)

Memory

-0.0MiB live, 240.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11166000976844201	(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
accuracy	2.1498657112636574	(.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re)
accuracy	2.5742063649812352	(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	36.87025949515737	(/.f64 (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
accuracy	0	(*.f64 x.im x.re)
accuracy	0.12890625	(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
accuracy	0.2109375	(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
accuracy	28.898123268358354	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.16796875	(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
accuracy	8.550380927501385	(.f64 (.f64 x.im x.im) x.re)
accuracy	28.898123268358354	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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)))
accuracy	0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.12890625	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
accuracy	0.23046875	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
accuracy	28.898123268358354	#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 #s(literal -3 binary64) x.im) x.re) x.im))
accuracy	0.2199965360464221	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)))
accuracy	0.3278279183083509	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
accuracy	2.5742063649812352	(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	4.358932887964687	(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)

Samples

101.0ms

256×

valid

Compiler

Compiled 337 to 41 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 66.0ms (80.3% of total)

ival-div: 5.0ms (6.1% of total)

ival-add: 5.0ms (6.1% of total)

ival-sub: 3.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.5%)

Memory

17.9MiB live, 91.1MiB allocated

Counts

21 → 480

Calls

Call 1

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

Outputs
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re))) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (/ (pow x.im 2) (pow x.re 5))) (/ 1 (pow x.re 3))) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 7))) (* 3 (/ 1 (pow x.re 5))))) (/ 1 (pow x.re 3))) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 9))) (* 9 (/ 1 (pow x.re 7))))) (* 3 (/ 1 (pow x.re 5))))) (/ 1 (pow x.re 3))) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re)) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re) (patch (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re) (patch (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re) (patch (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re 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 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re) (patch (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.re) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#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 #s(literal -3 binary64) x.im) x.re) x.im)) (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 #s(literal -3 binary64) 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 #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 #s(literal -3 binary64) x.im) x.re) x.im)) (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 #s(literal -3 binary64) 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 #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 #s(literal -3 binary64) x.im) x.re) x.im)) (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 #s(literal -3 binary64) 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 #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 #s(literal -3 binary64) x.im) x.re) x.im)) (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 #s(literal -3 binary64) x.im) x.re) x.im)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im) (patch (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im) (patch (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im) (patch (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im) (patch (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 binary64) x.im) #<representation:binary64>) () ())) ())
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 binary64) x.im) #<representation:binary64>) () ())) ())
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 binary64) x.im) #<representation:binary64>) () ())) ())
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 binary64) x.im) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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))) (patch #s(approx (- (+ ( (* x.re x.re) x.re) (* (* (neg 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))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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))) (patch #s(approx (- (+ ( (* x.re x.re) x.re) (* (* (neg 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))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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))) (patch #s(approx (- (+ ( (* x.re x.re) x.re) (* (* (neg 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))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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))) (patch #s(approx (- (+ ( (* x.re x.re) x.re) (* (* (neg 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))) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)) (patch (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)) (patch (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)) (patch (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)) (patch (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.im 2) x.re) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.im x.im) x.re) (patch (.f64 (.f64 x.im x.im) x.re) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.im 2) x.re) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.im x.im) x.re) (patch (.f64 (.f64 x.im x.im) x.re) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.im 2) x.re) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.im x.im) x.re) (patch (.f64 (.f64 x.im x.im) x.re) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.im 2) x.re) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.im x.im) x.re) (patch (.f64 (.f64 x.im x.im) x.re) #<representation:binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (.f64 x.im x.im) (patch (.f64 x.im x.im) #<representation:binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (.f64 x.im x.im) (patch (.f64 x.im x.im) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (pow x.re 5)) (taylor -inf x.re) (#s(alt (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) (patch (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (+ 1 (* -1 (/ (+ (* -3 (pow x.im 2)) (* 3 (pow x.im 2))) (pow x.re 2)))))) (taylor -inf x.re) (#s(alt (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) (patch (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (+ 1 (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (+ (* -3 (pow x.im 2)) (* 3 (pow x.im 2))) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) (patch (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (+ 1 (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (+ (* -3 (pow x.im 2)) (* 3 (pow x.im 2))) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) (patch (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x.re 4)) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) (patch (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.re 4) (- (+ (* -3 (/ (pow x.im 2) (pow x.re 2))) (* 3 (/ (pow x.im 2) (pow x.re 2)))) 1)) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) (patch (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.re 4) (- (+ (* -3 (/ (pow x.im 2) (pow x.re 2))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) 1)) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) (patch (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.re 4) (- (+ (* -3 (/ (pow x.im 2) (pow x.re 2))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) 1)) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) (patch (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) #<representation:binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) (patch (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) (patch (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) (patch (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) (patch (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) #<representation:binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	inf	((/ 1 (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (* x.im x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) (+ (* (* x.im x.im) -3) (* x.re x.re)))
3.0ms	x.im	@	inf	((/ 1 (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (* x.im x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) (+ (* (* x.im x.im) -3) (* x.re x.re)))
3.0ms	x.re	@	-inf	((/ 1 (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (* x.im x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) (+ (* (* x.im x.im) -3) (* x.re x.re)))
3.0ms	x.im	@	0	((/ 1 (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (* x.im x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) (+ (* (* x.im x.im) -3) (* x.re x.re)))
2.0ms	x.re	@	0	((/ 1 (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ 1 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (* x.im x.im) (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) x.re) (* (+ (* (* x.im x.im) -3) (* (neg x.re) x.re)) (+ (* (* x.im x.im) -3) (* x.re x.re))) (+ (* (* x.im x.im) -3) (* x.re x.re)))

simplify221.0ms (3%)

Memory

-3.2MiB live, 359.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 960×	`lower-fma.f64`
13 960×	`lower-fma.f32`
3 864×	`lower-*.f64`
3 864×	`lower-*.f32`
3 120×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	4719
1	744	4459
2	2444	4415
0	8530	4205

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

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

Outputs
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(/ 1 (pow x.re 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(+ (* 3 (/ (pow x.im 2) (pow x.re 5))) (/ 1 (pow x.re 3)))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 5 binary64))) x.im) x.im (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))))
(+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 7))) (* 3 (/ 1 (pow x.re 5))))) (/ 1 (pow x.re 3)))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 7 binary64))) x.im) x.im (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 5 binary64)))) (.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 9))) (* 9 (/ 1 (pow x.re 7))))) (* 3 (/ 1 (pow x.re 5))))) (/ 1 (pow x.re 3)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 27 binary64) x.im) (/.f64 x.im (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 7 binary64)))) (.f64 x.im x.im) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 5 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 x.im)
(*.f64 x.im #s(literal -3 binary64))
(* -3 x.im)
(*.f64 x.im #s(literal -3 binary64))
(* -3 x.im)
(*.f64 x.im #s(literal -3 binary64))
(* -3 x.im)
(*.f64 x.im #s(literal -3 binary64))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) x.re)
(* -1 (pow x.re 5))
(neg.f64 (pow.f64 x.re #s(literal 5 binary64)))
(+ (* -1 (pow x.re 5)) (* (pow x.im 2) (* x.re (+ (* -3 (pow x.re 2)) (* 3 (pow x.re 2))))))
(neg.f64 (pow.f64 x.re #s(literal 5 binary64)))
(+ (* -1 (pow x.re 5)) (* (pow x.im 2) (+ (* 9 (* (pow x.im 2) x.re)) (* x.re (+ (* -3 (pow x.re 2)) (* 3 (pow x.re 2)))))))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.im x.im) x.re)) x.im) x.im (neg.f64 (pow.f64 x.re #s(literal 5 binary64))))
(+ (* -1 (pow x.re 5)) (* (pow x.im 2) (+ (* 9 (* (pow x.im 2) x.re)) (* x.re (+ (* -3 (pow x.re 2)) (* 3 (pow x.re 2)))))))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.im x.im) x.re)) x.im) x.im (neg.f64 (pow.f64 x.re #s(literal 5 binary64))))
(* -1 (pow x.re 4))
(neg.f64 (pow.f64 x.re #s(literal 4 binary64)))
(+ (* -1 (pow x.re 4)) (* (pow x.im 2) (+ (* -3 (pow x.re 2)) (* 3 (pow x.re 2)))))
(neg.f64 (pow.f64 x.re #s(literal 4 binary64)))
(+ (* -1 (pow x.re 4)) (* (pow x.im 2) (+ (* -3 (pow x.re 2)) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) x.im) x.im (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(+ (* -1 (pow x.re 4)) (* (pow x.im 2) (+ (* -3 (pow x.re 2)) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) x.im) x.im (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (.f64 x.re x.re))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #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.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #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.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #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.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #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.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #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.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im))
(/ -1/3 (* (pow x.im 2) x.re))
(/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) x.re)
(/ (- (* -1/9 (/ x.re (pow x.im 2))) (* 1/3 (/ 1 x.re))) (pow x.im 2))
(fma.f64 x.re (/.f64 #s(literal -1/9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) x.re))
(/ (- (* -1/27 (/ (pow x.re 3) (pow x.im 4))) (+ (* 1/9 (/ x.re (pow x.im 2))) (* 1/3 (/ 1 x.re)))) (pow x.im 2))
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(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(pow x.re 3)
(pow.f64 x.re #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 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #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 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #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 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (pow x.re 5))
(neg.f64 (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (* (pow x.re 5) (+ 1 (* -1 (/ (+ (* -3 (pow x.im 2)) (* 3 (pow x.im 2))) (pow x.re 2))))))
(neg.f64 (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (* (pow x.re 5) (+ 1 (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (+ (* -3 (pow x.im 2)) (* 3 (pow x.im 2))) (pow x.re 2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (* (pow x.re 5) (+ 1 (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (+ (* -3 (pow x.im 2)) (* 3 (pow x.im 2))) (pow x.re 2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (pow x.re 4))
(neg.f64 (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (- (+ (* -3 (/ (pow x.im 2) (pow x.re 2))) (* 3 (/ (pow x.im 2) (pow x.re 2)))) 1))
(neg.f64 (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (- (+ (* -3 (/ (pow x.im 2) (pow x.re 2))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (- (+ (* -3 (/ (pow x.im 2) (pow x.re 2))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))

rewrite300.0ms (4.1%)

Memory

27.1MiB live, 382.2MiB allocated

Rules

6 368×	`lower-fma.f32`
6 362×	`lower-fma.f64`
4 356×	`lower-*.f32`
4 330×	`lower-*.f64`
4 080×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	328
0	68	274
1	269	236
2	1670	236
0	8401	231

Stop Event

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

Counts

21 → 874

Calls

Call 1

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

Outputs
(.f64 (/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 x.re (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) (neg.f64 x.re)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(.f64 (/.f64 x.re #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) x.re) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) x.re) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x.re (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x.re (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 x.re (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) x.re) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 x.re #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)))
(.f64 (pow.f64 (.f64 (/.f64 x.re (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x.re) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 x.re (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 x.re (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 x.re)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(fma.f64 (/.f64 (.f64 x.im x.im) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x.im) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))))
(fma.f64 (/.f64 (.f64 x.im x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (.f64 #s(literal -3 binary64) x.im) x.im)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))))
(fma.f64 (/.f64 (.f64 x.im x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x.im) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))))
(fma.f64 (/.f64 x.im (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 (.f64 #s(literal -3 binary64) x.im) x.im)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))))
(fma.f64 (/.f64 x.im (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 (.f64 #s(literal -3 binary64) x.im) x.im)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))))
(fma.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 x.re)) (.f64 (.f64 #s(literal -3 binary64) x.im) x.im))
(fma.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))))
(fma.f64 (neg.f64 x.re) (neg.f64 x.re) (.f64 (.f64 #s(literal -3 binary64) x.im) x.im))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (neg.f64 (.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
(fma.f64 x.re x.re (.f64 (.f64 #s(literal -3 binary64) x.im) x.im))
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (neg.f64 (.f64 (neg.f64 x.re) x.re)))
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (neg.f64 (.f64 (neg.f64 x.re) x.re)))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
(fma.f64 x.im (.f64 #s(literal -3 binary64) x.im) (.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 x.im (.f64 #s(literal -3 binary64) x.im) (neg.f64 (.f64 (neg.f64 x.re) x.re)))
(fma.f64 x.im (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.re))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x.re) x.re) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (.f64 x.re x.re) (.f64 (.f64 #s(literal -3 binary64) x.im) x.im))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (.f64 x.re x.re) (.f64 (*.f64 #s(literal -3 binary64) x.im) x.im))))
(-.f64 (/.f64 (.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(-.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) (*.f64 (neg.f64 x.re) x.re))
(+.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) (*.f64 (neg.f64 (neg.f64 x.re)) x.re))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) (neg.f64 (*.f64 (neg.f64 x.re) x.re)))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) (*.f64 x.re x.re))
(+.f64 (.f64 x.re x.re) (.f64 (*.f64 #s(literal -3 binary64) x.im) x.im))

eval288.0ms (4%)

Memory: -15.0MiB live, 526.5MiB allocated
Compiler: Compiled 43 942 to 3 920 computations (91.1% saved)

prune85.0ms (1.2%)

Memory

-20.1MiB live, 242.4MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	1 534	6	1 540
Fresh	1	0	1
Picked	2	3	5
Done	0	6	6
Total	1 537	15	1 552

Accuracy

100.0%

Counts

1 552 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.7%	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
✓	48.1%	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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)))
	63.7%	#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
✓	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)))
	25.4%	#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 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) #s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) (.f64 x.re x.re))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
	90.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 x.re (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) #s(literal -1 binary64))))
	74.1%	#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 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (* x.im x.im) -3) (* x.re x.re)) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.im) x.im)) x.re))))
	60.2%	#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 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (* x.im x.im) -3) (* x.re x.re)) (*.f64 x.re x.re)) x.re))))
	54.5%	#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 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) (neg.f64 x.re))))))
✓	90.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
✓	88.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
✓	54.7%	#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 #s(literal -3 binary64) x.im) x.re) x.im))
✓	60.4%	#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 x.re) x.re))
✓	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
✓	54.7%	#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 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 606 to 264 computations (56.4% saved)

regimes26.0ms (0.4%)

Memory

13.9MiB live, 52.3MiB allocated

Counts

26 → 3

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.re 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 #s(literal -3 binary64) (.f64 (*.f64 x.im 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)) (.f64 #s(literal -3 binary64) (.f64 (*.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 #s(literal -3 binary64) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.im)) x.re))
#s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (* x.im x.im) -3) (* x.re x.re)) (*.f64 x.re x.re)) x.re))))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.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.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im 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)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))))
(-.f64 (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (neg.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (* x.im x.im) -3) (* x.re x.re)) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.im) 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)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) #s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) (.f64 x.re x.re))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.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 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) (neg.f64 x.re))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 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 x.re (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) #s(literal -1 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 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))) x.im))
(-.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im x.re) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.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 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))

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

Calls

3 calls:

9.0ms	x.re
8.0ms	x.im
7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.3%	2	`x.re`
97.8%	2	`x.im`
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 15 computations (28.6% saved)

regimes6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

16 → 3

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

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

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
99.8%	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 19 to 11 computations (42.1% saved)

regimes12.0ms (0.2%)

Memory

-1.9MiB live, 36.3MiB allocated

Counts

14 → 2

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

Outputs

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

Calls

2 calls:

6.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
5.0ms	x.im

Results

Accuracy	Segments	Branch
97.8%	2	`x.im`
97.4%	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 20 to 13 computations (35% saved)

regimes12.0ms (0.2%)

Memory

7.7MiB live, 45.0MiB allocated

Counts

8 → 2

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

Outputs

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

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

Calls

3 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))
3.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
83.2%	2	`x.re`
96.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
83.8%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

-30.2MiB live, 16.0MiB allocated

Counts

7 → 2

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

Outputs

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

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
96.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

2 → 2

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

Calls

1 calls:

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
90.2%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes4.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.4%	1	`x.re`
60.4%	1	`x.im`
60.4%	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 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-inf	-2.6291586120331508e+268

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-inf	-2.6291586120331508e+268

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch12.0ms (0.2%)

Memory

-14.9MiB live, 24.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.243235896087908e+146	1.8486599351485638e+147

Samples

7.0ms

96×

valid

Compiler

Compiled 136 to 118 computations (13.2% saved)

Precisions

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

ival-mult: 4.0ms (74.2% of total)

ival-sub: 1.0ms (18.5% 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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.9556591648648967e-304	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.9556591648648967e-304	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.9556591648648967e-304	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify33.0ms (0.5%)

Memory

14.4MiB live, 53.8MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`-commutative-binary64-.f64`
22×	`+-commutative-binary64-+.f64`
20×	`sub-neg-binary64-neg.f64-+.f64--.f64`
14×	`neg-sub0-binary64--.f64-neg.f64`
14×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	581
1	101	581
2	120	581
3	139	581
4	148	581
5	152	581
6	153	581

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 -inf.0 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 (.f64 x.im 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 +inf.0 binary64)) (-.f64 (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (neg.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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im x.im))) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -inf.0 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 (.f64 x.im 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 +inf.0 binary64)) (-.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(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im x.im))) x.re))))
(if (<=.f64 x.im #s(literal 1800000000000000102354176669169509124271489229167927561335634100186483739340948013837077848609900824792272475679913138030339179375978941155131785216 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re 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 #s(literal -3 binary64) (.f64 (*.f64 x.im 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 -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re 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 -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 (.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.re 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 -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 (.f64 x.im 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)) (.f64 (.f64 x.re 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 x.re x.re) x.re))

Outputs
(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 -inf.0 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 (.f64 x.im 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 +inf.0 binary64)) (-.f64 (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (neg.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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im x.im))) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -inf.0 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))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (neg.f64 x.im) x.im) x.re)) (.f64 (+.f64 (.f64 x.im x.re) (.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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im x.im))) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -inf.0 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 (.f64 x.im 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 +inf.0 binary64)) (-.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(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im x.im))) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -inf.0 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))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im x.im))) x.re))))
(if (<=.f64 x.im #s(literal 1800000000000000102354176669169509124271489229167927561335634100186483739340948013837077848609900824792272475679913138030339179375978941155131785216 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re 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 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))))
(if (<=.f64 x.im #s(literal 1800000000000000102354176669169509124271489229167927561335634100186483739340948013837077848609900824792272475679913138030339179375978941155131785216 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re 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 x.im x.re) 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 -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg x.im) x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re 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.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (- (+ (* (* x.re x.re) x.re) (* (* (neg 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.re 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 -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 (.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.re 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.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 (.f64 x.re 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 -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 (.f64 x.im 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)) (.f64 (.f64 x.re 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.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 x.re 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 x.re x.re) x.re))

soundness1.0s (14.4%)

Memory

-11.2MiB live, 506.0MiB allocated

Rules

17 666×	`lower-fma.f64`
17 666×	`lower-fma.f32`
12 920×	`lower-fma.f64`
12 920×	`lower-fma.f32`
3 950×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	226
0	53	222
1	192	194
0	1205	189
0	78	3039
1	237	3039
2	689	3039
3	2820	3039
4	6713	3039
0	8174	2907
0	11	51
0	20	51
1	83	39
0	572	38
0	56	852
1	169	852
2	519	852
3	2111	852
4	5812	852
0	8263	834
0	44	253
0	64	224
1	242	204
0	1529	199

Stop Event

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

Compiler

Compiled 479 to 181 computations (62.2% saved)

preprocess143.0ms (2%)

Memory: 11.7MiB live, 288.9MiB allocated
Remove: (abs x.im)
Compiler: Compiled 1 232 to 342 computations (72.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (13.8%)

explain188.0ms (2.6%)

preprocess334.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify359.0ms (4.9%)

localize43.0ms (0.6%)

series14.0ms (0.2%)

simplify152.0ms (2.1%)

rewrite73.0ms (1%)

eval18.0ms (0.3%)

prune30.0ms (0.4%)

simplify443.0ms (6.1%)

localize115.0ms (1.6%)

series90.0ms (1.2%)

simplify288.0ms (4%)

rewrite82.0ms (1.1%)

eval134.0ms (1.8%)

prune58.0ms (0.8%)

simplify414.0ms (5.7%)

localize209.0ms (2.9%)

series130.0ms (1.8%)

simplify162.0ms (2.2%)

rewrite83.0ms (1.1%)

eval104.0ms (1.4%)

prune83.0ms (1.2%)

simplify240.0ms (3.3%)

localize163.0ms (2.2%)

series38.0ms (0.5%)

simplify221.0ms (3%)

rewrite300.0ms (4.1%)

eval288.0ms (4%)

prune85.0ms (1.2%)

regimes26.0ms (0.4%)

regimes6.0ms (0.1%)

regimes12.0ms (0.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify33.0ms (0.5%)

soundness1.0s (14.4%)

preprocess143.0ms (2%)

end0.0ms (0%)

Profiling