Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.7s (17.4%)

Memory

5.0MiB live, 904.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 647.0ms

ival-mult: 496.0ms (76.7% of total)

ival-sub: 108.0ms (16.7% of total)

ival-add: 33.0ms (5.1% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain313.0ms (3.3%)

Memory

15.3MiB live, 226.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
12	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
10	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.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	19	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	118
↳	`(*.f64 x.re x.re)`	overflow	69
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	117
↳	`(*.f64 x.im x.im)`	overflow	58
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	63
↳	`(*.f64 x.im x.re)`	overflow	27
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	27
↳	`(*.f64 x.re x.im)`	overflow	27
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	12	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	10	0
↳	`(*.f64 x.re x.re)`	overflow	69
↳	`(*.f64 x.im x.im)`	overflow	58

Confusion

	Predicted +	Predicted -
+	36	0
-	0	220

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	0
-	0	0	220

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	220
1	31
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 155 to 37 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 25.0ms (78.4% of total)

ival-sub: 4.0ms (12.5% of total)

ival-add: 2.0ms (6.3% of total)

ival-true: 1.0ms (3.1% of total)

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

preprocess709.0ms (7.4%)

Memory

-3.1MiB live, 428.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 21 to 11 computations (47.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(-.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 11 computations (47.6% saved)

simplify282.0ms (2.9%)

Memory

-18.8MiB live, 421.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	320	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	704	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize35.0ms (0.4%)

Memory

-4.6MiB live, 77.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.140625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.2460834291510294	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	2.8884289052900813	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.8632812500000004	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Samples

21.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 8.0ms (68.1% of total)

ival-sub: 2.0ms (17% of total)

ival-add: 1.0ms (8.5% of total)

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

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

series12.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

simplify203.0ms (2.1%)

Memory

-23.4MiB live, 417.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite50.0ms (0.5%)

Memory

2.9MiB live, 85.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 92

Calls

Call 1

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

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

eval22.0ms (0.2%)

Memory: -6.6MiB live, 69.5MiB allocated
Compiler: Compiled 5 021 to 320 computations (93.6% saved)

prune26.0ms (0.3%)

Memory

31.2MiB live, 73.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	202	10	212
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	203	10	213

Accuracy

100.0%

Counts

213 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.8%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
▶	94.8%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
	11.5%	(/.f64 (.f64 (fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))
	35.0%	(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	38.2%	(-.f64 (.f64 (/.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (neg.f64 x.im)) (.f64 x.im (neg.f64 x.im)))) (-.f64 (.f64 x.re x.re) (.f64 x.im (neg.f64 x.im)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	38.7%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	69.5%	(-.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))
▶	93.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
	48.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
▶	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))

Compiler

Compiled 500 to 210 computations (58% saved)

simplify224.0ms (2.3%)

Memory

-30.1MiB live, 447.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	320	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	704	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
cost-diff	1728	(/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re)
cost-diff	320	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	320	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	0	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
cost-diff	0	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
cost-diff	0	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 x.re (.f64 x.re x.re))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(+.f64 x.im x.im)
cost-diff	0	(*.f64 x.re (+.f64 x.im x.im))
cost-diff	704	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))

Rules

14 802×	`lower-fma.f32`
14 796×	`lower-fma.f64`
3 830×	`lower-*.f32`
3 800×	`lower-*.f64`
2 386×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	381
0	69	320
1	144	302
2	325	296
3	1621	271
4	3448	271
0	8375	270

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1%)

Memory

33.6MiB live, 271.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.19189169061152617	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
accuracy	2.8884289052900813	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.re)
accuracy	3.8632812500000004	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	44.98438224489503	(/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
accuracy	0.140625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.8884289052900813	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re)
accuracy	3.8632812500000004	(-.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))
accuracy	28.53220461541664	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.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 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
accuracy	0.1328125	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
accuracy	1.249986238027801	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
accuracy	3.0989564771449287	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.09375	(.f64 x.re (.f64 x.re x.re))
accuracy	25.459203729937762	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
accuracy	0	(neg.f64 x.im)
accuracy	0.00390625	(*.f64 x.re (+.f64 x.re x.im))
accuracy	0.12890625	(.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
accuracy	2.6171875000000004	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))

Samples

55.0ms

256×

valid

Compiler

Compiled 367 to 35 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 22.0ms (58.9% of total)

ival-add: 7.0ms (18.7% of total)

ival-sub: 4.0ms (10.7% of total)

ival-div: 3.0ms (8% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.4%)

Memory

-28.5MiB live, 90.9MiB allocated

Counts

22 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

simplify158.0ms (1.7%)

Memory

13.7MiB live, 334.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 522×	`lower-fma.f64`
7 522×	`lower-fma.f32`
2 494×	`lower-*.f64`
2 494×	`lower-*.f32`
1 942×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	4961
1	1172	3875
2	4335	3860
0	8140	3712

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

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

rewrite335.0ms (3.5%)

Memory

2.7MiB live, 720.2MiB allocated

Rules

9 930×	`lower-fma.f32`
9 924×	`lower-fma.f64`
4 160×	`lower-/.f32`
4 156×	`lower-/.f64`
3 550×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	294
0	69	230
1	270	190
2	2156	190
0	8264	185

Stop Event

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

Counts

22 → 1 754

Calls

Call 1

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

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

eval334.0ms (3.5%)

Memory: 21.1MiB live, 745.3MiB allocated
Compiler: Compiled 79 148 to 4 316 computations (94.5% saved)

prune349.0ms (3.6%)

Memory

0.5MiB live, 681.6MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	2 658	20	2 678
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	2 667	21	2 688

Accuracy

100.0%

Counts

2 688 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))
	77.3%	(fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
	62.0%	(fma.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) (+.f64 x.im x.im))
▶	94.8%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (/.f64 (.f64 (-.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im))))
	90.4%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re #s(literal -1 binary64)))))
	67.6%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.re x.im)) (-.f64 x.re x.im)))
	91.1%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
	49.2%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) #s(approx ( (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))))
	18.4%	(/.f64 (.f64 (fma.f64 x.re #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) (+.f64 x.im x.im)) (fma.f64 x.re #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) (+.f64 x.im x.im))) (fma.f64 x.re #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (+.f64 x.im x.im)))
	46.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.re #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (+.f64 x.im x.im))))
	65.3%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
	47.8%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (+.f64 x.im x.im))
▶	91.2%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))))
▶	48.8%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
▶	80.7%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64))))))
▶	90.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re))))
	90.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re))))
	60.2%	#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)))
	93.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 x.re (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))))
	93.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re))))
✓	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))

Compiler

Compiled 678 to 340 computations (49.9% saved)

simplify220.0ms (2.3%)

Memory

15.4MiB live, 323.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))
cost-diff	0	(.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))))
cost-diff	0	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64))))))
cost-diff	1024	(.f64 x.im (.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))))
cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
cost-diff	0	(*.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)) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re))))
cost-diff	320	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re)))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
cost-diff	0	(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
cost-diff	0	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
cost-diff	0	(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
cost-diff	0	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
cost-diff	0	(+.f64 x.im x.im)
cost-diff	0	(*.f64 x.re (+.f64 x.im x.im))
cost-diff	704	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (/.f64 (.f64 (-.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im))))
cost-diff	1088	(/.f64 (*.f64 (-.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)))

Rules

12 740×	`lower-fma.f32`
12 732×	`lower-fma.f64`
3 290×	`lower-*.f32`
3 264×	`lower-*.f64`
2 220×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	365
0	76	388
1	166	306
2	408	290
3	1776	250
4	3778	249
5	7996	249
0	8001	248

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (1.4%)

Memory

-0.3MiB live, 204.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.9488134619897315	(fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
accuracy	2.435592275607774	(.f64 x.im (.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))))
accuracy	3.200659452844925	(.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))))
accuracy	5.774171351586841	(/.f64 x.re (*.f64 x.im x.im))
accuracy	0	(*.f64 x.im #s(literal -3 binary64))
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re))))
accuracy	0.09375	(.f64 x.re (.f64 x.re x.re))
accuracy	5.414039105907619	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re)))
accuracy	0	(*.f64 x.im x.im)
accuracy	0	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))))
accuracy	2.3320209291510294	(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	3.0989564771449287	(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.1328125	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
accuracy	8.92437566131803	(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
accuracy	29.69739968536892	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
accuracy	0	(neg.f64 x.im)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 x.re x.im))
accuracy	0.158535009768442	(/.f64 (*.f64 (-.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)))
accuracy	2.6171875000000004	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (/.f64 (.f64 (-.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im))))

Samples

70.0ms	235×	0	valid
5.0ms	7×	3	valid
4.0ms	6×	2	valid
4.0ms	4×	4	valid
2.0ms	4×	1	valid

Compiler

Compiled 328 to 46 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 35.0ms (56.5% of total)

ival-add: 9.0ms (14.5% of total)

ival-div: 8.0ms (12.9% of total)

adjust: 4.0ms (6.5% of total)

ival-sub: 4.0ms (6.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series110.0ms (1.2%)

Memory

3.5MiB live, 40.8MiB allocated

Counts

24 → 504

Calls

Call 1

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

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

Calls

126 calls:

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

simplify288.0ms (3%)

Memory

-32.1MiB live, 313.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 698×	`lower-fma.f64`
14 698×	`lower-fma.f32`
4 362×	`lower-*.f64`
4 362×	`lower-*.f32`
4 312×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	5577
1	985	4845
2	2910	4185
0	8279	3995

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

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

rewrite393.0ms (4.1%)

Memory

42.4MiB live, 390.0MiB allocated

Rules

8 164×	`lower-fma.f32`
8 156×	`lower-fma.f64`
3 802×	`lower-*.f32`
3 776×	`lower-*.f64`
3 656×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	327
0	76	333
1	322	233
2	2682	228
0	8675	223

Stop Event

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

Counts

24 → 841

Calls

Call 1

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

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

eval223.0ms (2.3%)

Memory: -15.8MiB live, 294.4MiB allocated
Compiler: Compiled 34 148 to 2 384 computations (93% saved)

prune264.0ms (2.8%)

Memory

29.3MiB live, 348.6MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 376	9	1 385
Fresh	9	6	15
Picked	4	1	5
Done	0	1	1
Total	1 389	17	1 406

Accuracy

100.0%

Counts

1 406 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))
	62.0%	(fma.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) (+.f64 x.im x.im))
	90.4%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re #s(literal -1 binary64)))))
	91.1%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
	53.5%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) #s(approx (/ ( (- x.re x.im) x.re) (/ 1 (+ x.re x.im))) (.f64 x.im (.f64 x.im (neg.f64 x.re)))))
	46.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.re #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (+.f64 x.im x.im))))
▶	53.5%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im))
	53.5%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
✓	91.2%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))))
	48.8%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)))
	40.3%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (/.f64 (.f64 (+.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal -9 binary64)) x.re) (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal 3 binary64))))))
▶	90.8%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))))))
▶	53.5%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64))))))
▶	41.1%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im #s(approx (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)) (/.f64 (.f64 x.re (.f64 x.re x.re)) (*.f64 x.im x.im))))))
▶	94.1%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im #s(approx ( x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) x.im))))))
	93.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 x.re (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))))
✓	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))

Compiler

Compiled 539 to 283 computations (47.5% saved)

simplify176.0ms (1.8%)

Memory

-27.3MiB live, 261.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))))))
cost-diff	320	(.f64 x.im (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))))
cost-diff	384	(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
cost-diff	384	(.f64 x.im (.f64 x.im (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)))))
cost-diff	0	#s(approx (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)) (/.f64 (.f64 x.re (.f64 x.re x.re)) (*.f64 x.im x.im)))
cost-diff	0	(.f64 x.im #s(approx ( x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)) (/.f64 (.f64 x.re (.f64 x.re x.re)) (*.f64 x.im x.im))))
cost-diff	0	(.f64 x.im (.f64 x.im #s(approx (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)) (/.f64 (.f64 x.re (.f64 x.re x.re)) (*.f64 x.im x.im)))))
cost-diff	0	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im #s(approx (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)) (/.f64 (.f64 x.re (.f64 x.re x.re)) (*.f64 x.im x.im))))))
cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
cost-diff	0	(.f64 (.f64 x.im #s(literal -3 binary64)) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
cost-diff	0	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im))
cost-diff	0	(.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))
cost-diff	0	(.f64 x.im (.f64 x.re #s(approx (+ (* x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64))))
cost-diff	0	(.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))
cost-diff	0	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64))))))
cost-diff	0	(.f64 x.re (fma.f64 x.im #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) x.im)))
cost-diff	0	#s(approx (* x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) x.im))))
cost-diff	0	(.f64 x.im #s(approx ( x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) x.im)))))
cost-diff	0	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im #s(approx ( x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) x.im))))))

Rules

6 334×	`lower-fma.f32`
6 330×	`lower-fma.f64`
3 808×	`lower-*.f32`
3 776×	`lower-*.f64`
2 480×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	576
0	75	570
1	157	464
2	369	454
3	1454	444
4	5464	428
0	8297	421

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (1.9%)

Memory

2.0MiB live, 195.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09832001953688403	(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
accuracy	0.3331167864999711	(*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)))
accuracy	2.435592275607774	(.f64 x.im (.f64 x.im (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)))))
accuracy	3.200659452844925	(.f64 x.im (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))))
accuracy	2.435592275607774	(.f64 x.im (.f64 x.im #s(approx (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)) (/.f64 (.f64 x.re (.f64 x.re x.re)) (*.f64 x.im x.im)))))
accuracy	3.200659452844925	(.f64 x.im #s(approx ( x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)) (/.f64 (.f64 x.re (.f64 x.re x.re)) (*.f64 x.im x.im))))
accuracy	13.016869753296655	(/.f64 (.f64 x.re (.f64 x.re x.re)) (*.f64 x.im x.im))
accuracy	30.348959062709444	#s(approx (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)) (/.f64 (.f64 x.re (.f64 x.re x.re)) (*.f64 x.im x.im)))
accuracy	0	(*.f64 x.im #s(literal -3 binary64))
accuracy	0.125	(.f64 (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
accuracy	0.21484375	(.f64 (.f64 x.im #s(literal -3 binary64)) x.re)
accuracy	29.69739968536892	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im))
accuracy	0.3331167864999711	(.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))
accuracy	2.435592275607774	(.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))
accuracy	3.200659452844925	(.f64 x.im (.f64 x.re #s(approx (+ (* x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64))))
accuracy	32.452344850805396	#s(approx (+ (* x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64))
accuracy	0.02734375	(fma.f64 x.im #s(literal -3 binary64) (/.f64 (*.f64 x.re x.re) x.im))
accuracy	0.08984375	(.f64 x.re (fma.f64 x.im #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) x.im)))
accuracy	2.435592275607774	(.f64 x.im #s(approx ( x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) x.im)))))
accuracy	6.7485913846578285	(/.f64 (*.f64 x.re x.re) x.im)

Samples

116.0ms	223×	0	valid
8.0ms	12×	3	valid
6.0ms	8×	4	valid
4.0ms	8×	2	valid
2.0ms	5×	1	valid

Compiler

Compiled 430 to 41 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-sub: 56.0ms (48.9% of total)

ival-mult: 34.0ms (29.7% of total)

ival-div: 10.0ms (8.7% of total)

ival-add: 9.0ms (7.9% of total)

adjust: 5.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory

22.5MiB live, 60.2MiB allocated

Counts

25 → 588

Calls

Call 1

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

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

Calls

147 calls:

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

simplify271.0ms (2.8%)

Memory

-13.7MiB live, 288.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 570×	`lower-fma.f64`
11 570×	`lower-fma.f32`
4 408×	`lower-*.f64`
4 408×	`lower-*.f32`
1 580×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	6444
1	466	5388
2	1562	5124
3	6058	4968
0	8405	4644

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(/ (pow x.re 3) x.im)
(/.f64 (.f64 x.re (.f64 x.re x.re)) x.im)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(.f64 x.re (/.f64 (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.im))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(.f64 x.re (/.f64 (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.im))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(.f64 x.re (/.f64 (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.im))
(* -3 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal -3 binary64)))
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (fma.f64 x.re (/.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))))
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (fma.f64 x.re (/.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))))
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (fma.f64 x.re (/.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))))
(* -3 (* x.im x.re))
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(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
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rewrite257.0ms (2.7%)

Memory

36.2MiB live, 357.8MiB allocated

Rules

4 704×	`lower-/.f32`
4 698×	`lower-/.f64`
4 102×	`lower-fma.f32`
4 098×	`lower-fma.f64`
3 992×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	545
0	75	506
1	293	396
2	1923	396
0	8179	391

Stop Event

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

Counts

25 → 398

Calls

Call 1

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

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

eval225.0ms (2.4%)

Memory: -21.9MiB live, 217.5MiB allocated
Compiler: Compiled 18 027 to 1 410 computations (92.2% saved)

prune179.0ms (1.9%)

Memory

-29.1MiB live, 275.5MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	980	6	986
Fresh	6	4	10
Picked	4	1	5
Done	0	2	2
Total	990	13	1 003

Accuracy

100.0%

Counts

1 003 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))
	62.0%	(fma.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) (+.f64 x.im x.im))
	90.4%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re #s(literal -1 binary64)))))
	53.5%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) #s(approx (/ ( (- x.re x.im) x.re) (/ 1 (+ x.re x.im))) (.f64 x.im (.f64 x.im (neg.f64 x.re)))))
	48.8%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) x.re))
	53.5%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.im) (.f64 #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)) x.im)))
	53.4%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im (.f64 x.re x.im)) #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64))))
	96.1%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re (fma.f64 x.re (/.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))))) x.im))
✓	91.2%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))))
	80.7%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (/.f64 x.re (/.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))))))
✓	53.5%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64))))))
	56.4%	#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im #s(approx ( x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re #s(approx (+ ( x.im -3) (/ (* x.re x.re) x.im)) (/.f64 (*.f64 x.re x.re) x.im))))))
✓	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))

Compiler

Compiled 933 to 247 computations (73.5% saved)

regimes101.0ms (1.1%)

Memory

3.9MiB live, 79.8MiB allocated

Counts

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

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

Calls

3 calls:

54.0ms	x.re
34.0ms	x.im
11.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.9%	2	`x.re`
99.9%	2	`x.im`
99.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes25.0ms (0.3%)

Memory

26.0MiB live, 63.4MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes29.0ms (0.3%)

Memory

-15.0MiB live, 64.5MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

12.0ms	x.im
9.0ms	x.re
7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`
99.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
99.9%	3	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes15.0ms (0.2%)

Memory

5.2MiB live, 40.3MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

9.0ms	x.re
5.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.2%	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))`
99.5%	3	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes11.0ms (0.1%)

Memory

-8.7MiB live, 30.3MiB 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 x.re (.f64 x.re x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64))))))
#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)))
#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im (.f64 x.re x.im)) #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64))))
#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.im) (.f64 #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)) x.im)))
#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) x.re))
#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (+.f64 x.im x.im))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im #s(literal -3 binary64)) x.im (*.f64 x.re x.re))))
#s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))

Outputs

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

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

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

Calls

2 calls:

6.0ms	x.im
4.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.9%	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 24 to 13 computations (45.8% saved)

regimes5.0ms (0%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes4.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.6%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes15.0ms (0.2%)

Memory

-7.1MiB live, 36.5MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

6.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
4.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
85.1%	2	`x.im`
80.3%	2	`x.re`
97.6%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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 x.re (*.f64 x.re x.re)))

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

Outputs

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
92.9%	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 21 to 11 computations (47.6% saved)

regimes5.0ms (0.1%)

Memory

-25.1MiB live, 14.3MiB 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 x.re (.f64 x.re x.re)))

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

Calls

3 calls:

2.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
60.2%	1	`x.re`
60.2%	1	`x.im`
60.2%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.232611574309805e-74	2.1179740643260533e-36

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch15.0ms (0.2%)

Memory

-4.7MiB live, 33.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.165271887112487e+50	1.0936402301228419e+52

Samples

7.0ms

112×

valid

Compiler

Compiled 241 to 135 computations (44% saved)

Precisions

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

ival-mult: 4.0ms (77.9% of total)

ival-sub: 1.0ms (19.5% of total)

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

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

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

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	4.636948774186387e+58	4.9285887058461e+58

Samples

1.0ms

16×

valid

Compiler

Compiled 55 to 33 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (141.7% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.877539665137326e-304	7.740775664096518e-254

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.232611574309805e-74	2.1179740643260533e-36
0.0ms	-4.092657824916168e+147	-4.697147770877213e+126

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.232611574309805e-74	2.1179740643260533e-36
0.0ms	-4.092657824916168e+147	-4.697147770877213e+126

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.232611574309805e-74	2.1179740643260533e-36
0.0ms	-1.2698852175170704e-303	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2698852175170704e-303	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2698852175170704e-303	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify18.0ms (0.2%)

Memory

-3.3MiB live, 34.2MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative_binary64`
22×	`+-commutative_binary64`
18×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	943
1	136	943
2	154	943
3	169	943
4	176	943
5	179	943
6	180	943

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 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 4799999999999999701614954479952639706254788465262592 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))) #s(approx (- ( (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re (fma.f64 x.re (/.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))))) x.im)))
(if (<=.f64 x.re #s(literal 47999999999999999533048071730247742069398168521699496034304 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re)))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -3999999999999999911985529622630640697459295557871204323089012979877055756916429969707704197693042055879073073662148309875353729226924585581455343616 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -3999999999999999911985529622630640697459295557871204323089012979877055756916429969707704197693042055879073073662148309875353729226924585581455343616 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))

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 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 4799999999999999701614954479952639706254788465262592 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))) #s(approx (- ( (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re (fma.f64 x.re (/.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))))) x.im)))
(if (<=.f64 x.im #s(literal 4799999999999999701614954479952639706254788465262592 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))) #s(approx (- ( (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im #s(approx ( x.im (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3))) (.f64 x.re (fma.f64 x.re (/.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))))))))
(if (<=.f64 x.re #s(literal 47999999999999999533048071730247742069398168521699496034304 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re)))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im)))
(if (<=.f64 x.re #s(literal 47999999999999999533048071730247742069398168521699496034304 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))) (.f64 x.re (.f64 x.re x.re)))) (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -3999999999999999911985529622630640697459295557871204323089012979877055756916429969707704197693042055879073073662148309875353729226924585581455343616 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -3999999999999999911985529622630640697459295557871204323089012979877055756916429969707704197693042055879073073662148309875353729226924585581455343616 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))) (fma.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -3999999999999999911985529622630640697459295557871204323089012979877055756916429969707704197693042055879073073662148309875353729226924585581455343616 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -3999999999999999911985529622630640697459295557871204323089012979877055756916429969707704197693042055879073073662148309875353729226924585581455343616 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))) (fma.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) (if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))) (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (- (* (/ 1 (/ (+ (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.im (.f64 x.re #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) #s(literal -3 binary64)))))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))

soundness1.3s (14%)

Memory

-19.6MiB live, 879.2MiB allocated

Rules

14 698×	`lower-fma.f64`
14 698×	`lower-fma.f32`
12 920×	`lower-fma.f64`
12 920×	`lower-fma.f32`
9 930×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	4961
1	1172	3875
2	4335	3860
0	8140	3712
0	53	545
0	75	506
1	293	396
2	1923	396
0	8179	391
0	311	5577
1	985	4845
2	2910	4185
0	8279	3995
0	43	294
0	69	230
1	270	190
2	2156	190
0	8264	185
0	11	51
0	20	51
1	83	39
0	572	38
0	56	924
1	169	852
2	519	852
3	2117	852
4	5791	852
0	8250	834

Stop Event

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

Compiler

Compiled 1 724 to 536 computations (68.9% saved)

preprocess175.0ms (1.8%)

Memory: 23.9MiB live, 295.9MiB allocated
Remove: (abs x.im)
Compiler: Compiled 1 314 to 310 computations (76.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (17.4%)

explain313.0ms (3.3%)

preprocess709.0ms (7.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify282.0ms (2.9%)

localize35.0ms (0.4%)

series12.0ms (0.1%)

simplify203.0ms (2.1%)

rewrite50.0ms (0.5%)

eval22.0ms (0.2%)

prune26.0ms (0.3%)

simplify224.0ms (2.3%)

localize99.0ms (1%)

series36.0ms (0.4%)

simplify158.0ms (1.7%)

rewrite335.0ms (3.5%)

eval334.0ms (3.5%)

prune349.0ms (3.6%)

simplify220.0ms (2.3%)

localize130.0ms (1.4%)

series110.0ms (1.2%)

simplify288.0ms (3%)

rewrite393.0ms (4.1%)

eval223.0ms (2.3%)

prune264.0ms (2.8%)

simplify176.0ms (1.8%)

localize184.0ms (1.9%)

series37.0ms (0.4%)

simplify271.0ms (2.8%)

rewrite257.0ms (2.7%)

eval225.0ms (2.4%)

prune179.0ms (1.9%)

regimes101.0ms (1.1%)

regimes25.0ms (0.3%)

regimes29.0ms (0.3%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes15.0ms (0.2%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.2%)

soundness1.3s (14%)

preprocess175.0ms (1.8%)

end0.0ms (0%)

Profiling