Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample966.0ms (11.4%)

Memory

-16.5MiB live, 1 765.9MiB allocated

Samples

700.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 513.0ms

ival-mult: 373.0ms (72.7% of total)

ival-sub: 89.0ms (17.3% of total)

ival-add: 42.0ms (8.2% of total)

ival-true: 6.0ms (1.2% of total)

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

Bogosity

explain167.0ms (2%)

Memory

12.8MiB live, 368.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
21	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
13	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	22	0
↳	`(*.f64 x.re x.re)`	overflow	71
↳	`(*.f64 x.im x.im)`	overflow	63
`-.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	21	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	118
↳	`(*.f64 x.re x.re)`	overflow	71
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	112
↳	`(*.f64 x.im x.im)`	overflow	63
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	64
↳	`(*.f64 x.im x.re)`	overflow	37
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	37
↳	`(*.f64 x.re x.im)`	overflow	37
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	48	0
-	0	208

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	48	0	0
-	0	0	208

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	208
1	40
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 218 to 48 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 20.0ms (70.7% of total)

ival-sub: 5.0ms (17.7% of total)

ival-add: 2.0ms (7.1% of total)

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

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

preprocess466.0ms (5.5%)

Memory

-11.7MiB live, 231.5MiB allocated

Algorithm

1×	egg-herbie

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.4%	(-.f64 (.f64 (-.f64 (.f64 x.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)

simplify355.0ms (4.2%)

Memory

26.3MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize41.0ms (0.5%)

Memory

16.4MiB live, 54.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.152984626972685	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	4.292968750000001	(-.f64 (.f64 (-.f64 (.f64 x.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	5.093721101622882	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Samples

33.0ms

256×

valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

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

ival-mult: 9.0ms (72.6% of total)

ival-sub: 2.0ms (16.1% of total)

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

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

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

series109.0ms (1.3%)

Memory

-34.4MiB live, 57.4MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#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 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())
#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 (.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 (* 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 (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 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* 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 (* (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 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* 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 (* (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 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* 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 (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (* 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 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* 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 (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 (-.f64 (.f64 (-.f64 (.f64 x.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 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* 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 (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 (-.f64 (.f64 (-.f64 (.f64 x.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 (* (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
72.0ms	x.im	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.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.re x.im) (* x.im x.re)) x.im))
26.0ms	x.im	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.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.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.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.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.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.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	-inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.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.re x.im) (* x.im x.re)) x.im))

simplify141.0ms (1.7%)

Memory

25.9MiB live, 101.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	888
1	169	888
2	519	888
3	2112	888
4	5776	888
0	8249	870

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

rewrite97.0ms (1.1%)

Memory

-26.4MiB live, 55.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
0	20	54
1	83	42
0	572	41

Stop Event

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

Counts

6 → 96

Calls

Call 1

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

Outputs
#<batchref>
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eval37.0ms (0.4%)

Memory: -2.8MiB live, 34.7MiB allocated
Compiler: Compiled 4 631 to 354 computations (92.4% saved)

prune12.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	219	9	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	9	229

Accuracy

99.9%

Counts

229 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.4%	(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	35.4%	(-.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))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
▶	81.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	50.7%	(-.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))
	64.1%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	55.4%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	57.9%	#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)))
▶	86.4%	#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))
▶	50.7%	#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.im) x.re)))

Compiler

Compiled 286 to 188 computations (34.3% saved)

simplify202.0ms (2.4%)

Memory

-31.9MiB live, 110.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff	0	(.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	960	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	0	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) x.re)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) 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 -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	339
0	70	316
1	131	310
2	234	310
3	503	300
4	1111	300
5	3325	300
6	5555	300
7	7275	300
0	8046	298

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

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

localize207.0ms (2.5%)

Memory

-7.0MiB live, 109.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.152984626972685	(.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re)
accuracy	4.292968750000001	(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	10.183544209924944	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	43.820173951861555	(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy	0.1328125	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	3.152984626972685	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	4.292968750000001	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy	5.093721101622882	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	0.1328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	0.1328125	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
accuracy	4.292968750000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	28.447594961987882	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.2109375	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
accuracy	7.422575241320406	(.f64 (.f64 x.im x.im) x.re)
accuracy	28.44004047830467	#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)))
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	3.1407613007623945	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
accuracy	5.171846101622881	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))

Samples

129.0ms

256×

valid

Compiler

Compiled 597 to 68 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-div: 47.0ms (55.6% of total)

ival-mult: 22.0ms (26% of total)

ival-sub: 6.0ms (7.1% of total)

ival-add: 5.0ms (5.9% of total)

ival-pow: 4.0ms (4.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.6%)

Memory

7.1MiB live, 44.8MiB allocated

Counts

21 → 480

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms	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.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (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)) (* 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.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (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)) (* 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.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (pow x.im 4)))
3.0ms	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.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im) (- (pow x.re 4) (pow x.im 4)))

simplify264.0ms (3.1%)

Memory

19.0MiB live, 136.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	3654
1	300	3654
2	885	3654
3	3350	3654
0	8248	3516

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

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

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)
(* 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))
(+ (* (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))
(* -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.re 3)
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rewrite465.0ms (5.5%)

Memory

-3.3MiB live, 378.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	260
0	70	223
1	270	197
2	1526	189
0	8756	184

Stop Event

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

Counts

21 → 3 558

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

Outputs
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eval887.0ms (10.5%)

Memory: -67.7MiB live, 1 244.8MiB allocated
Compiler: Compiled 177 071 to 5 902 computations (96.7% saved)

prune142.0ms (1.7%)

Memory

27.3MiB live, 342.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	4 398	8	4 406
Fresh	4	0	4
Picked	5	0	5
Done	0	0	0
Total	4 407	8	4 415

Accuracy

100.0%

Counts

4 415 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.8%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
	57.9%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	91.9%	#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 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
	50.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
▶	55.4%	#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.im #s(literal -3 binary64)) (*.f64 x.re x.im)))
▶	71.9%	#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))
▶	57.9%	#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 x.re x.re)) x.re))
	55.4%	#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.re x.im) x.im)))

Compiler

Compiled 174 to 136 computations (21.8% saved)

simplify132.0ms (1.6%)

Memory

-8.8MiB live, 182.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
cost-diff	13952	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
cost-diff	0	(.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im x.im))
cost-diff	0	#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)))
cost-diff	0	(.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)
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(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))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
cost-diff	0	(.f64 (.f64 x.im #s(literal -3 binary64)) (*.f64 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 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
cost-diff	0	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
cost-diff	0	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
cost-diff	0	(.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	413
0	74	401
1	139	393
2	301	393
3	1597	351
4	5574	349
0	8439	348

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

localize140.0ms (1.7%)

Memory

-43.9MiB live, 204.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.852811709267729	(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im)
accuracy	4.292968750000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
accuracy	28.447594961987882	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	37.67430870576109	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
accuracy	0.11328125	(/.f64 (/.f64 x.re x.im) x.im)
accuracy	2.8923885554973943	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy	3.1407613007623945	(.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)
accuracy	13.528231070581208	(.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (.f64 x.im x.im))
accuracy	0	(*.f64 x.re x.im)
accuracy	0	(*.f64 x.im #s(literal -3 binary64))
accuracy	0.2109375	(.f64 (.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))
accuracy	28.44004047830467	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)))
accuracy	0	(*.f64 x.re x.re)
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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
accuracy	3.1407613007623945	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
accuracy	29.68191395096953	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
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 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
accuracy	0.12109375	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
accuracy	2.007790480844482	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
accuracy	3.1407613007623945	(.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re)

Samples

84.0ms

256×

valid

Compiler

Compiled 576 to 77 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 26.0ms (52.3% of total)

ival-add: 6.0ms (12.1% of total)

ival-sub: 6.0ms (12.1% of total)

ival-div: 5.0ms (10.1% of total)

ival-pow: 3.0ms (6% of total)

ival-pow2: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series98.0ms (1.2%)

Memory

-12.1MiB live, 106.8MiB allocated

Counts

23 → 516

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	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.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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.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 -3) (* x.re x.im)) (* x.im -3) (* x.re 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.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (/ (/ x.re x.im) x.im) (* (* 2 (pow (* x.re x.im) 3)) x.im))
6.0ms	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.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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.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 -3) (* x.re x.im)) (* x.im -3) (* x.re 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.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (/ (/ x.re x.im) x.im) (* (* 2 (pow (* x.re x.im) 3)) x.im))
4.0ms	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.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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.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 -3) (* x.re x.im)) (* x.im -3) (* x.re 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.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (/ (/ x.re x.im) x.im) (* (* 2 (pow (* x.re x.im) 3)) x.im))
4.0ms	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.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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.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 -3) (* x.re x.im)) (* x.im -3) (* x.re 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.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (/ (/ x.re x.im) x.im) (* (* 2 (pow (* x.re x.im) 3)) x.im))
4.0ms	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.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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.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 -3) (* x.re x.im)) (* x.im -3) (* x.re 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.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (+ 0 (pow (* x.re x.im) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (/ (/ x.re x.im) x.im) (* (* 2 (pow (* x.re x.im) 3)) x.im))

simplify232.0ms (2.7%)

Memory

11.9MiB live, 315.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	4077
1	237	4059
2	687	4059
3	2779	4023
4	7079	3987
0	8064	3753

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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

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

rewrite194.0ms (2.3%)

Memory

5.2MiB live, 328.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	357
0	74	345
1	279	309
2	1980	304
0	8439	299

Stop Event

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

Counts

23 → 419

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

Outputs
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eval193.0ms (2.3%)

Memory: 34.1MiB live, 307.1MiB allocated
Compiler: Compiled 18 826 to 1 761 computations (90.6% saved)

prune100.0ms (1.2%)

Memory

-9.3MiB live, 162.4MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 000	3	1 003
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	1 002	9	1 011

Accuracy

100.0%

Counts

1 011 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.8%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (.f64 (.f64 (.f64 x.im x.re) x.im) x.re)))
▶	57.9%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	91.9%	#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 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
▶	55.4%	#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 x.im x.re) x.im) #s(literal -3 binary64)))
▶	50.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
✓	55.4%	#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.im #s(literal -3 binary64)) (*.f64 x.re x.im)))
✓	71.9%	#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))
▶	66.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
✓	57.9%	#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 x.re x.re)) x.re))

Compiler

Compiled 164 to 124 computations (24.4% saved)

simplify149.0ms (1.8%)

Memory

-18.3MiB live, 213.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (.f64 (.f64 (.f64 x.im x.re) x.im) x.re)))
cost-diff	8128	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (.f64 (.f64 (.f64 x.im x.re) x.im) x.re))
cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
cost-diff	0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
cost-diff	0	(*.f64 x.re #s(literal -3 binary64))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) (*.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
cost-diff	0	(.f64 (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
cost-diff	0	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
cost-diff	0	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) 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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	367
0	74	367
1	161	359
2	385	355
3	2288	321
4	6423	319
0	8462	310

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

localize199.0ms (2.4%)

Memory

32.1MiB live, 268.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	3.359976051103904	(.f64 (.f64 (*.f64 x.im x.re) x.im) x.re)
accuracy	4.292968750000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (.f64 (.f64 (.f64 x.im x.re) x.im) x.re)))
accuracy	28.447594961987882	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	37.67430870576109	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (.f64 (.f64 (.f64 x.im x.re) x.im) x.re))
accuracy	0.00390625	(pow.f64 x.re #s(literal 3 binary64))
accuracy	26.917112465251943	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	0	(*.f64 x.im x.re)
accuracy	0.1328125	(.f64 (.f64 x.im x.re) x.im)
accuracy	0.2109375	(.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))
accuracy	28.44004047830467	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
accuracy	0	(*.f64 x.re #s(literal -3 binary64))
accuracy	0	(*.f64 x.im x.im)
accuracy	7.482389267680221	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
accuracy	28.44004047830467	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
accuracy	2.8923885554973943	(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
accuracy	3.1407613007623945	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re)
accuracy	6.88447713567053	(/.f64 x.re (*.f64 x.im x.im))
accuracy	13.528231070581208	(.f64 (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))

Samples

173.0ms

256×

valid

Compiler

Compiled 524 to 77 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 67.0ms (48.6% of total)

ival-sub: 32.0ms (23.2% of total)

ival-pow: 27.0ms (19.6% of total)

ival-div: 5.0ms (3.6% of total)

ival-add: 5.0ms (3.6% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series45.0ms (0.5%)

Memory

-3.1MiB live, 70.9MiB allocated

Counts

21 → 468

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	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.re (* x.im x.im)) 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.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) x.im) -3) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (/ x.re (* x.im x.im)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* (* x.im x.re) 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.re (* x.im x.im)) 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.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) x.im) -3) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (/ x.re (* x.im x.im)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* (* x.im x.re) x.im) x.re))
3.0ms	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.re (* x.im x.im)) 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.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) x.im) -3) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (/ x.re (* x.im x.im)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* (* x.im x.re) x.im) x.re))
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)) (* (+ (* (/ x.re (* x.im x.im)) 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.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) x.im) -3) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (/ x.re (* x.im x.im)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* (* x.im x.re) x.im) x.re))
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)) (* (+ (* (/ x.re (* x.im x.im)) 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.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) x.im) -3) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.re x.im) 3)) x.im) (* (* (* x.im x.re) x.im) x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (/ x.re (* x.im x.im)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* (* x.im x.re) x.im) x.re))

simplify190.0ms (2.2%)

Memory

-3.6MiB live, 280.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	3429
1	278	3411
2	839	3411
3	3262	3411
4	7865	3411
0	8270	3249

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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

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

rewrite166.0ms (2%)

Memory

0.0MiB live, 301.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	311
0	74	303
1	317	281
2	1987	276
0	8154	268

Stop Event

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

Counts

21 → 264

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

Outputs
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eval197.0ms (2.3%)

Memory: 13.6MiB live, 210.4MiB allocated
Compiler: Compiled 15 173 to 1 201 computations (92.1% saved)

prune90.0ms (1.1%)

Memory

21.4MiB live, 173.4MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	817	2	819
Fresh	0	0	0
Picked	1	4	5
Done	1	3	4
Total	819	9	828

Accuracy

100.0%

Counts

828 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	13.8%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (.f64 (.f64 (.f64 x.im x.re) x.im) x.re)))
✓	57.9%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	91.9%	#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 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
✓	55.4%	#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 x.im x.re) x.im) #s(literal -3 binary64)))
	55.4%	#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 #s(literal -3 binary64) x.im) x.re) x.im))
✓	50.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
✓	71.9%	#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))
	28.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 #s(approx (+ ( (/ x.re (* x.im x.im)) x.re) -3) (.f64 (/.f64 x.re (.f64 x.im x.im)) x.re)) (*.f64 x.im x.im))) x.re))
✓	57.9%	#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 x.re x.re)) x.re))

Compiler

Compiled 425 to 185 computations (56.5% saved)

regimes37.0ms (0.4%)

Memory

1.9MiB live, 78.4MiB allocated

Counts

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

Outputs

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

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

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

17.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
11.0ms	x.im
7.0ms	x.re

Results

Accuracy	Segments	Branch
99.4%	3	`x.re`
96.7%	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)

regimes14.0ms (0.2%)

Memory

-1.0MiB live, 35.8MiB 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 #s(approx (+ ( -3 (* x.im x.im)) (* 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 #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.re 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 (.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.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 (.f64 (*.f64 #s(literal -3 binary64) 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 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 (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 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.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)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im 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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 #s(approx (+ ( (/ x.re (* x.im x.im)) x.re) -3) (.f64 (/.f64 x.re (.f64 x.im x.im)) x.re)) (*.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
(-.f64 (.f64 (-.f64 (.f64 x.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 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)))

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

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

Calls

2 calls:

7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
5.0ms	x.re

Results

Accuracy	Segments	Branch
99.4%	3	`x.re`
96.7%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes11.0ms (0.1%)

Memory

-12.7MiB live, 26.5MiB 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 #s(approx (+ ( -3 (* x.im x.im)) (* 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 #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.re 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 (.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.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 (.f64 (*.f64 #s(literal -3 binary64) 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 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 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.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 (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 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)))

Calls

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

Results

Accuracy	Segments	Branch
96.7%	2	`x.im`
94.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
94.3%	3	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB 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 #s(approx (+ ( -3 (* x.im x.im)) (* 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 #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.re 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 (.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.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 (.f64 (*.f64 #s(literal -3 binary64) 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 x.im x.re) x.im) #s(literal -3 binary64)))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
84.3%	2	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
93.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
93.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes14.0ms (0.2%)

Memory

-32.8MiB live, 8.2MiB 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 #s(approx (+ (* -3 (* x.im x.im)) (* 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 #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 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

Calls

2 calls:

12.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
2.0ms	x.re

Results

Accuracy	Segments	Branch
76.2%	2	`x.re`
89.2%	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 20 to 13 computations (35% saved)

regimes4.0ms (0%)

Memory

10.4MiB live, 10.4MiB 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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.9%	1	`x.re`
57.9%	1	`x.im`
57.9%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.9820473488608063e+302	-5.35569784693196e+277

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch14.0ms (0.2%)

Memory

-11.1MiB live, 27.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.1896412064676955e+241	1.1047392408333376e+242
7.0ms	2.9360841477780486e-126	5.903766045027182e-125

Samples

8.0ms

96×

valid

Compiler

Compiled 134 to 116 computations (13.4% saved)

Precisions

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

ival-mult: 3.0ms (49.7% of total)

ival-add: 2.0ms (33.1% of total)

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

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

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

bsearch8.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	4.859946593949527e+152	8.779363469747401e+152

Samples

5.0ms

64×

valid

Compiler

Compiled 98 to 84 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (63.7% of total)

ival-sub: 1.0ms (31.8% 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

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.144775353e-315	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.144775353e-315	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.144775353e-315	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.144775353e-315	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify31.0ms (0.4%)

Memory

6.1MiB live, 83.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	677
1	102	677
2	121	677
3	137	677
4	145	677
5	148	677
6	149	677

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 -100000000000000007629703079084894925347346855150656811701601734206211380288125794484142188964691784076639747577138548761372210387844799938291815611350519830750167649856488981626536368095414607314235151058373458986890825155659063617715863205282622390509284183439858617103083735673849899204570498157510656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.im))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.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 (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #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.re #s(literal 4763410263543689/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.im))) (if (<=.f64 x.re #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 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 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))))
(if (<=.f64 x.im #s(literal 849999999999999934648642856618303289907794979485464905256698242237016026372538350836701580669428154650400828047208929273011769058560132842412757556920320 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 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) 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 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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.re 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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #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(approx (+ ( -3 (* x.im x.im)) (* 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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 -100000000000000007629703079084894925347346855150656811701601734206211380288125794484142188964691784076639747577138548761372210387844799938291815611350519830750167649856488981626536368095414607314235151058373458986890825155659063617715863205282622390509284183439858617103083735673849899204570498157510656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.im))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.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 (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #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 -100000000000000007629703079084894925347346855150656811701601734206211380288125794484142188964691784076639747577138548761372210387844799938291815611350519830750167649856488981626536368095414607314235151058373458986890825155659063617715863205282622390509284183439858617103083735673849899204570498157510656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 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 (fma.f64 x.re x.re (.f64 #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(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.re #s(literal 4763410263543689/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.im))) (if (<=.f64 x.re #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 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 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))))
(if (<=.f64 x.re #s(literal 4763410263543689/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re))) (if (<=.f64 x.re #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 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 x.re x.re (.f64 #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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))))
(if (<=.f64 x.im #s(literal 849999999999999934648642856618303289907794979485464905256698242237016026372538350836701580669428154650400828047208929273011769058560132842412757556920320 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 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))))
(if (<=.f64 x.im #s(literal 849999999999999934648642856618303289907794979485464905256698242237016026372538350836701580669428154650400828047208929273011769058560132842412757556920320 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 #s(literal -3 binary64) x.im) (*.f64 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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) 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 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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) 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 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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) 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)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.re 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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) x.im) #s(literal -3 binary64))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 -809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.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 #s(approx (+ ( -3 (* x.im x.im)) (* 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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

soundness1.1s (13%)

Memory

-20.3MiB live, 558.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	260
0	70	223
1	270	197
2	1526	189
0	8756	184
0	56	888
1	169	888
2	519	888
3	2112	888
4	5776	888
0	8249	870
0	51	311
0	74	303
1	317	281
2	1987	276
0	8154	268
0	100	3654
1	300	3654
2	885	3654
3	3350	3654
0	8248	3516

Stop Event

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

Compiler

Compiled 418 to 202 computations (51.7% saved)

preprocess487.0ms (5.7%)

Memory: -1.3MiB live, 158.7MiB allocated
Remove: (abs x.im)
Compiler: Compiled 1 128 to 352 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample966.0ms (11.4%)

explain167.0ms (2%)

preprocess466.0ms (5.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify355.0ms (4.2%)

localize41.0ms (0.5%)

series109.0ms (1.3%)

simplify141.0ms (1.7%)

rewrite97.0ms (1.1%)

eval37.0ms (0.4%)

prune12.0ms (0.1%)

simplify202.0ms (2.4%)

localize207.0ms (2.5%)

series47.0ms (0.6%)

simplify264.0ms (3.1%)

rewrite465.0ms (5.5%)

eval887.0ms (10.5%)

prune142.0ms (1.7%)

simplify132.0ms (1.6%)

localize140.0ms (1.7%)

series98.0ms (1.2%)

simplify232.0ms (2.7%)

rewrite194.0ms (2.3%)

eval193.0ms (2.3%)

prune100.0ms (1.2%)

simplify149.0ms (1.8%)

localize199.0ms (2.4%)

series45.0ms (0.5%)

simplify190.0ms (2.2%)

rewrite166.0ms (2%)

eval197.0ms (2.3%)

prune90.0ms (1.1%)

regimes37.0ms (0.4%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes14.0ms (0.2%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch14.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify31.0ms (0.4%)

soundness1.1s (13%)

preprocess487.0ms (5.7%)

end0.0ms (0%)

Profiling