Metrics for math.cube on complex, real part

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample10.4s (48.1%)

Memory

25.1MiB live, 1 927.7MiB allocated

Samples

10.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 4.7s

ival-sub: 4.2s (90.2% of total)

ival-mult: 350.0ms (7.5% of total)

ival-add: 98.0ms (2.1% of total)

ival-true: 6.0ms (0.1% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

preprocess586.0ms (2.7%)

Memory

-24.2MiB live, 926.7MiB allocated

Algorithm

2×	egg-herbie

Rules

22 902×	`accelerator-lowering-fma.f32`
22 902×	`accelerator-lowering-fma.f64`
3 052×	`-lowering-.f32`
3 052×	`-lowering-.f64`
2 270×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	120
1	124	104
2	343	102
3	1331	66
4	3614	66
5	5884	66
6	6656	66
7	7103	66
8	7229	66
9	7282	66
10	7283	66
0	11	19
1	28	17
2	70	17
3	226	11
4	655	11
5	2116	11
6	4282	11
7	6301	11
8	7361	11
9	7682	11
10	7721	11
11	7721	11
0	8012	10

Stop Event

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

Calls

Call 1

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

Outputs

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

(fma.f64 x.re (fma.f64 x.re x.re (fma.f64 x.im (fma.f64 x.im #s(literal -3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))

Call 2

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

Outputs
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(+ (pow x.re 3) (* x.re (* (* x.im x.im) -3)))
(- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im))
(- (* x.re (* (* x.im x.im) 3)) (pow x.re 3))
(- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im)))
(+ (pow x.re 3) (* x.re (* (* x.im x.im) -3)))
(neg (- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im)))
(+ (pow x.re 3) (* x.re (* (* x.im x.im) -3)))
(neg (- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im))))
(- (* x.re (* (* x.im x.im) 3)) (pow x.re 3))
(- (* (- (* x.im x.im) (* x.re x.re)) x.im) (* (+ (* x.im x.re) (* x.re x.im)) x.re))
(+ (pow x.im 3) (* x.re (* x.re (* x.im -3))))

Symmetry

(abs x.im)

(negabs x.re)

explain162.0ms (0.7%)

Memory

-7.9MiB live, 283.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
26	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
18	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
17	-	-	`(-.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	26	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	112
↳	`(*.f64 x.re x.re)`	overflow	71
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	119
↳	`(*.f64 x.im x.im)`	overflow	65
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	67
↳	`(*.f64 x.im x.re)`	overflow	33
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	33
↳	`(*.f64 x.re x.im)`	overflow	33
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	18	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	17	0
↳	`(*.f64 x.re x.re)`	overflow	71
↳	`(*.f64 x.im x.im)`	overflow	65

Confusion

	Predicted +	Predicted -
+	54	0
-	0	202

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	0
-	0	0	202

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	202
1	47
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 19.0ms (73.5% of total)

ival-sub: 4.0ms (15.5% of total)

ival-add: 2.0ms (7.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(-.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)

simplify601.0ms (2.8%)

Memory

23.4MiB live, 692.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	cost-diff	192	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	384	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	768	(-.f64 (.f64 (-.f64 (.f64 x.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×	`accelerator-lowering-fma.f32`
22 902×	`accelerator-lowering-fma.f64`
3 052×	`-lowering-.f32`
3 052×	`-lowering-.f64`
2 270×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	28	59
2	70	59
3	226	53
4	655	53
5	2116	53
6	4282	53
7	6301	53
8	7361	53
9	7682	53
10	7721	53
11	7721	53
0	8012	52

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize34.0ms (0.2%)

Memory

24.3MiB live, 61.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	93.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	91.8%	(-.f64 (.f64 (-.f64 (.f64 x.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

22.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

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

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

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

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

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

series15.0ms (0.1%)

Memory

-17.8MiB live, 19.2MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.re)>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)>

Outputs
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (pow x.re 3)>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>

Calls

30 calls:

Time	Variable		Point	Expression
6.0ms	x.re	@	0	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.re	@	inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.re	@	-inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	0	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite62.0ms (0.3%)

Memory

-4.4MiB live, 76.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

348×	`accelerator-lowering-fma.f32`
348×	`accelerator-lowering-fma.f64`
336×	`-lowering-.f32`
336×	`-lowering-.f64`
152×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	73	39
0	562	38

Stop Event

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

Counts

5 → 92

Calls

Call 1

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

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

simplify377.0ms (1.7%)

Memory

13.0MiB live, 452.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 920×	`accelerator-lowering-fma.f32`
12 920×	`accelerator-lowering-fma.f64`
2 972×	`-lowering-.f32`
2 972×	`-lowering-.f64`
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 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(pow x.re 3)
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(pow x.re 3)
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(pow x.re 3)
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 x.re (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 x.re (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 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))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(pow x.re 2)
(fma.f64 x.re x.re #s(literal 0 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(pow x.re 2)
(fma.f64 x.re x.re #s(literal 0 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(pow x.re 2)
(fma.f64 x.re x.re #s(literal 0 binary64))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* -1 (* (pow x.im 2) x.re))
(-.f64 #s(literal 0 binary64) (fma.f64 x.re (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.re 3)
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.re 3)
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.re 3)
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.im 2) x.re))
(-.f64 #s(literal 0 binary64) (fma.f64 x.re (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.im 2) x.re))
(-.f64 #s(literal 0 binary64) (fma.f64 x.re (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(fma.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))

eval37.0ms (0.2%)

Memory: 0.7MiB live, 39.4MiB allocated
Compiler: Compiled 5 081 to 328 computations (93.5% saved)

prune21.0ms (0.1%)

Memory

11.4MiB live, 48.6MiB 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

99.9%

Counts

213 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.8%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))
▶	90.5%	(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
▶	60.5%	(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
	14.0%	(-.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.re) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	28.3%	(-.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))
▶	79.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64))))
	89.7%	(-.f64 (.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))))
	15.3%	(-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	32.3%	(-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (.f64 x.im x.im)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	47.8%	(.f64 x.re (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))

Compiler

Compiled 560 to 250 computations (55.4% saved)

simplify401.0ms (1.8%)

Memory

12.4MiB live, 483.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x.re x.re (*.f64 x.im x.im))
✓	cost-diff	448	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	768	(-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (.f64 x.im x.im)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	cost-diff	2944	(.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))))
✓	cost-diff	0	(fma.f64 x.im (*.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64))
✓	cost-diff	128	(*.f64 x.im #s(literal 2 binary64))
✓	cost-diff	192	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	768	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	cost-diff	-64	(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))
✓	cost-diff	0	(fma.f64 x.im x.im #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))
✓	cost-diff	0	(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x.re x.re #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(+.f64 x.im x.im)
✓	cost-diff	0	(*.f64 x.re (+.f64 x.im x.im))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x.im)
✓	cost-diff	704	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))

Rules

14 078×	`accelerator-lowering-fma.f32`
14 078×	`accelerator-lowering-fma.f64`
3 932×	`-lowering-.f32`
3 932×	`-lowering-.f64`
2 126×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	261
1	127	247
2	376	247
3	1720	231
4	3912	231
0	8225	223

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (* (- x.re x.im) x.re)))
(- 0 x.im)
0
x.im
(* x.re (+ x.im x.im))
x.re
(+ x.im x.im)
(* (+ x.re x.im) (* (- x.re x.im) x.re))
(+ x.re x.im)
(* (- x.re x.im) x.re)
(- x.re x.im)
(+ (* x.re (+ (* x.re x.re) 0)) 0)
x.re
(+ (* x.re x.re) 0)
0
(+ (* x.re (+ (* x.re x.re) (* (+ (* x.im x.im) 0) -3))) 0)
x.re
(+ (* x.re x.re) (* (+ (* x.im x.im) 0) -3))
(* (+ (* x.im x.im) 0) -3)
(+ (* x.im x.im) 0)
x.im
0
-3
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re (+ (* x.im (* x.im 2)) 0)))
(* (- (* x.re x.re) (* x.im x.im)) x.re)
(- (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
(* x.re (+ (* x.im (* x.im 2)) 0))
(+ (* x.im (* x.im 2)) 0)
(* x.im 2)
2
0
(- (* (* (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))) (/ 1 (+ (* x.re x.re) (* x.im x.im)))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (* (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))) (/ 1 (+ (* x.re x.re) (* x.im x.im)))) x.re)
(* (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))) (/ 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 x.im)
x.im
(* (+ x.re x.im) (- x.re x.im))
(+ x.re x.im)
(- x.re x.im)
(/ 1 (+ (* x.re x.re) (* x.im x.im)))
1
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)

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

localize138.0ms (0.6%)

Memory

-20.9MiB live, 219.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))
✓	accuracy	93.3%	(.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (.f64 x.im x.im)))) x.re)
✓	accuracy	91.8%	(-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (.f64 x.im x.im)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	accuracy	30.8%	(.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))))
✓	accuracy	93.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	91.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	accuracy	86.8%	(.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 x.im x.im #s(literal 0 binary64))
✓	accuracy	99.8%	(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))
✓	accuracy	97.3%	(fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))
✓	accuracy	93.3%	(fma.f64 x.re (fma.f64 x.re x.re (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64))) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x.re x.re #s(literal 0 binary64))
✓	accuracy	99.9%	(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 x.re (+.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.re)
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
✓	accuracy	94.3%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))

Samples

81.0ms

256×

valid

Compiler

Compiled 315 to 45 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 33.0ms (55.9% of total)

ival-add: 17.0ms (28.8% of total)

ival-sub: 6.0ms (10.2% of total)

ival-div: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.1%)

Memory

4.8MiB live, 40.3MiB allocated

Counts

24 → 480

Calls

Call 1

Inputs
#<alt (+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (* (- x.re x.im) x.re)))>
#<alt (- 0 x.im)>
#<alt (* x.re (+ x.im x.im))>
#<alt (+ x.im x.im)>
#<alt (+ (* x.re (+ (* x.re x.re) 0)) 0)>
#<alt (+ (* x.re x.re) 0)>
#<alt (+ (* x.re (+ (* x.re x.re) (* (+ (* x.im x.im) 0) -3))) 0)>
#<alt (+ (* x.re x.re) (* (+ (* x.im x.im) 0) -3))>
#<alt (+ (* x.im x.im) 0)>
#<alt (* (+ (* x.im x.im) 0) -3)>
#<alt (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re (+ (* x.im (* x.im 2)) 0)))>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (* x.im 2)>
#<alt (+ (* x.im (* x.im 2)) 0)>
#<alt (* (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))) (/ 1 (+ (* x.re x.re) (* x.im x.im))))>
#<alt (- (* (* (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))) (/ 1 (+ (* x.re x.re) (* x.im x.im)))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (+ (* x.re x.re) (* x.im x.im))>
#<alt (* (+ x.re x.im) (* (- x.re x.im) x.re))>
#<alt (* (- x.re x.im) x.re)>
#<alt (* x.re (+ (* x.im (* x.im 2)) 0))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.re)>
#<alt (* (* (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))) (/ 1 (+ (* x.re x.re) (* x.im x.im)))) x.re)>
#<alt (/ 1 (+ (* x.re x.re) (* x.im x.im)))>

Outputs
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<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))))))>
#<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))))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))>
#<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)))))>
#<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)))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<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))))))>
#<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))))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<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)))>
#<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)))>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (pow x.im 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (pow x.re 3)>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
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#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
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#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
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#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 (pow x.im 2))>
#<alt (* 2 (pow x.im 2))>
#<alt (* 2 (pow x.im 2))>
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#<alt (* 2 (pow x.im 2))>
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#<alt (* 2 (pow x.im 2))>
#<alt (* 2 (pow x.im 2))>
#<alt (* 2 (pow x.im 2))>
#<alt (* 2 (pow x.im 2))>
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#<alt (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))>
#<alt (pow x.re 2)>
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#<alt (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))>
#<alt (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))>
#<alt (* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))>
#<alt (* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))>
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<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)))))>
#<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)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<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)))>
#<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)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))>
#<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))) (* 2 x.re)))>
#<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))) (* 2 x.re)))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (pow x.im 2)>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (pow x.re 2)>
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#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (pow x.re 2)>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (pow x.im 2)>
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#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<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)))))>
#<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)))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<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))))>
#<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))))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<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)))))>
#<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)))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<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))))>
#<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))))>
#<alt (/ 1 (pow x.im 2))>
#<alt (+ (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))>
#<alt (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 6)) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))>
#<alt (+ (* (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)))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))>
#<alt (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))>
#<alt (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))>
#<alt (/ 1 (pow x.im 2))>
#<alt (/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))>
#<alt (/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) (pow x.im 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))>
#<alt (/ 1 (pow x.im 2))>
#<alt (/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))>
#<alt (/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) (pow x.im 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))>

Calls

120 calls:

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

rewrite431.0ms (2%)

Memory

1.7MiB live, 772.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 074×	`accelerator-lowering-fma.f32`
5 074×	`accelerator-lowering-fma.f64`
2 690×	`/-lowering-/.f32`
2 690×	`/-lowering-/.f64`
2 388×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	211
1	301	130
2	3568	110
0	8351	108

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 461

Calls

Call 1

Inputs
(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (* (- x.re x.im) x.re)))
(- 0 x.im)
(* x.re (+ x.im x.im))
(+ x.im x.im)
(+ (* x.re (+ (* x.re x.re) 0)) 0)
(+ (* x.re x.re) 0)
(+ (* x.re (+ (* x.re x.re) (* (+ (* x.im x.im) 0) -3))) 0)
(+ (* x.re x.re) (* (+ (* x.im x.im) 0) -3))
(+ (* x.im x.im) 0)
(* (+ (* x.im x.im) 0) -3)
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re (+ (* x.im (* x.im 2)) 0)))
(- (* x.re x.re) (* x.im x.im))
(* x.im 2)
(+ (* x.im (* x.im 2)) 0)
(* (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))) (/ 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))) (/ 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.im x.re))
(+ (* x.re x.re) (* x.im x.im))
(* (+ x.re x.im) (* (- x.re x.im) x.re))
(* (- x.re x.im) x.re)
(* x.re (+ (* x.im (* x.im 2)) 0))
(* (- (* x.re x.re) (* x.im x.im)) x.re)
(* (* (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))) (/ 1 (+ (* x.re x.re) (* x.im x.im)))) x.re)
(/ 1 (+ (* x.re x.re) (* x.im x.im)))

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

simplify598.0ms (2.8%)

Memory

-2.6MiB live, 749.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 226×	`accelerator-lowering-fma.f32`
14 226×	`accelerator-lowering-fma.f64`
3 716×	`+-lowering-+.f64`
3 716×	`+-lowering-+.f32`
2 910×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	4825
1	981	3951
2	3043	3783
0	8184	3667

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

eval348.0ms (1.6%)

Memory: 9.8MiB live, 508.8MiB allocated
Compiler: Compiled 82 888 to 3 767 computations (95.5% saved)

prune282.0ms (1.3%)

Memory

11.3MiB live, 538.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	2 098	15	2 113
Fresh	4	1	5
Picked	5	0	5
Done	0	0	0
Total	2 107	16	2 123

Accuracy

100.0%

Counts

2 123 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.3%	(fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal -3 binary64) x.re) (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
	67.2%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (+.f64 x.im x.im)) (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
▶	47.8%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.re (*.f64 x.im x.im))))
▶	89.8%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (fma.f64 x.im (fma.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 0 binary64)) #s(literal 0 binary64))))
	79.9%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64) (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
▶	92.8%	(fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))
▶	90.5%	(fma.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 0 binary64))
	47.7%	(fma.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
▶	60.5%	(fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))
	74.4%	(fma.f64 x.im (.f64 x.im (fma.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
	60.6%	(pow.f64 x.re #s(literal 3 binary64))
	17.8%	(/.f64 (*.f64 x.re (fma.f64 x.re (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.re x.re #s(literal 0 binary64)))
	60.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))))
	72.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
	28.7%	(.f64 (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (fma.f64 x.re x.re #s(literal 0 binary64)))) (.f64 (+.f64 x.im x.re) (/.f64 (.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (fma.f64 x.re x.re #s(literal 0 binary64))))))
	47.8%	(.f64 x.re (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))

Compiler

Compiled 506 to 276 computations (45.5% saved)

simplify498.0ms (2.3%)

Memory

11.0MiB live, 844.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x.im x.im)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x.im)
✓	cost-diff	768	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (fma.f64 x.im (fma.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 0 binary64)) #s(literal 0 binary64))))
✓	cost-diff	1088	(fma.f64 x.im (fma.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 x.re (.f64 x.im x.im)))
✓	cost-diff	0	(+.f64 x.im x.im)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x.im)
✓	cost-diff	960	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.re (*.f64 x.im x.im))))
✓	cost-diff	-64	(*.f64 x.im x.im)
✓	cost-diff	-64	(.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	(fma.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 x.re x.re)
✓	cost-diff	0	(fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 x.re x.im)
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(+.f64 x.im x.im)
✓	cost-diff	768	(fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))

Rules

18 746×	`accelerator-lowering-fma.f32`
18 746×	`accelerator-lowering-fma.f64`
3 044×	`-lowering-.f32`
3 044×	`-lowering-.f64`
1 740×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	203
1	111	199
2	306	189
3	925	186
4	2999	186
5	6132	174
0	8438	170

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (neg x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (* (- x.re x.im) x.re)))
(neg x.im)
x.im
(* x.re (+ x.im x.im))
x.re
(+ x.im x.im)
(* (+ x.re x.im) (* (- x.re x.im) x.re))
(+ x.re x.im)
(* (- x.re x.im) x.re)
(- x.re x.im)
(+ (* x.re (* x.re x.re)) 0)
x.re
(* x.re x.re)
0
(+ (* x.re (+ (* x.re x.re) (* (* x.im x.im) -3))) 0)
x.re
(+ (* x.re x.re) (* (* x.im x.im) -3))
(* (* x.im x.im) -3)
(* x.im x.im)
x.im
-3
0
(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (- 0 (* x.re (* x.im x.im))))
(- 0 x.im)
0
x.im
(* x.re (+ x.im x.im))
x.re
(+ x.im x.im)
(- 0 (* x.re (* x.im x.im)))
(* x.re (* x.im x.im))
(* x.im x.im)
(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)))
(- 0 x.im)
0
x.im
(* x.re (+ x.im x.im))
x.re
(+ x.im x.im)
(* (+ x.re x.im) (+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0))
(+ x.re x.im)
(+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)
(+ (* x.re (+ -1 (/ x.re x.im))) 0)
(+ -1 (/ x.re x.im))
-1
(/ x.re x.im)

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

localize119.0ms (0.5%)

Memory

-26.5MiB live, 267.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 0 binary64))
✓	accuracy	99.8%	(*.f64 (+.f64 x.re x.im) (fma.f64 x.im (fma.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 0 binary64)) #s(literal 0 binary64)))
✓	accuracy	94.8%	(fma.f64 x.im (fma.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	94.3%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (fma.f64 x.im (fma.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 0 binary64)) #s(literal 0 binary64))))
✓	accuracy	100.0%	(*.f64 x.re (+.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.re (*.f64 x.im x.im))))
✓	accuracy	86.8%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	97.3%	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
✓	accuracy	93.3%	(fma.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.9%	(fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))
✓	accuracy	100.0%	(neg.f64 x.im)
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.re)
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
✓	accuracy	94.3%	(fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))

Samples

72.0ms

256×

valid

Compiler

Compiled 222 to 37 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 30.0ms (59.3% of total)

ival-add: 12.0ms (23.7% of total)

ival-sub: 3.0ms (5.9% of total)

ival-neg: 3.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

8.8MiB live, 47.6MiB allocated

Counts

22 → 444

Calls

Call 1

Inputs
#<alt (+ (* (neg x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (* (- x.re x.im) x.re)))>
#<alt (+ x.im x.im)>
#<alt (+ x.re x.im)>
#<alt (- x.re x.im)>
#<alt (+ (* x.re (* x.re x.re)) 0)>
#<alt (* x.re x.re)>
#<alt (+ (* x.re (+ (* x.re x.re) (* (* x.im x.im) -3))) 0)>
#<alt (+ (* x.re x.re) (* (* x.im x.im) -3))>
#<alt (* (* x.im x.im) -3)>
#<alt (* x.im x.im)>
#<alt (+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (- 0 (* x.re (* x.im x.im))))>
#<alt (- 0 x.im)>
#<alt (- 0 (* x.re (* x.im x.im)))>
#<alt (+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)>
#<alt (+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)))>
#<alt (* (+ x.re x.im) (* (- x.re x.im) x.re))>
#<alt (* (- x.re x.im) x.re)>
#<alt (neg x.im)>
#<alt (* x.re (* x.im x.im))>
#<alt (* x.re (+ x.im x.im))>
#<alt (* (+ x.re x.im) (+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0))>
#<alt (+ (* x.re (+ -1 (/ x.re x.im))) 0)>

Outputs
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<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))))))>
#<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))))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))>
#<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)))))>
#<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)))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<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))))))>
#<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))))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<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)))>
#<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)))>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt x.im>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.re>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt x.re>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt x.re>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.im>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt x.im>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 x.im)>
#<alt (- x.re x.im)>
#<alt (- x.re x.im)>
#<alt (- x.re x.im)>
#<alt x.re>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt x.re>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt x.re>
#<alt (+ x.re (* -1 x.im))>
#<alt (+ x.re (* -1 x.im))>
#<alt (+ x.re (* -1 x.im))>
#<alt (* -1 x.im)>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* -1 x.im)>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (pow x.im 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* (pow x.im 2) (- (* -2 x.re) x.re))>
#<alt (* x.re (- (* -2 (pow x.im 2)) (pow x.im 2)))>
#<alt (* x.re (- (* -2 (pow x.im 2)) (pow x.im 2)))>
#<alt (* x.re (- (* -2 (pow x.im 2)) (pow x.im 2)))>
#<alt (* x.re (- (* -2 (pow x.im 2)) (pow x.im 2)))>
#<alt (* x.re (- (* -2 (pow x.im 2)) (pow x.im 2)))>
#<alt (* x.re (- (* -2 (pow x.im 2)) (pow x.im 2)))>
#<alt (* x.re (- (* -2 (pow x.im 2)) (pow x.im 2)))>
#<alt (* x.re (- (* -2 (pow x.im 2)) (pow x.im 2)))>
#<alt (* -1 (* x.re (- (* 2 (pow x.im 2)) (* -1 (pow x.im 2)))))>
#<alt (* -1 (* x.re (- (* 2 (pow x.im 2)) (* -1 (pow x.im 2)))))>
#<alt (* -1 (* x.re (- (* 2 (pow x.im 2)) (* -1 (pow x.im 2)))))>
#<alt (* -1 (* x.re (- (* 2 (pow x.im 2)) (* -1 (pow x.im 2)))))>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<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))))))>
#<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))))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im)))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im)))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<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)))))>
#<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)))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<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))))>
#<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))))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<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)))))>
#<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)))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))>
#<alt (* -1 x.re)>
#<alt (* x.re (- (/ x.re x.im) 1))>
#<alt (* x.re (- (/ x.re x.im) 1))>
#<alt (* x.re (- (/ x.re x.im) 1))>
#<alt (/ (pow x.re 2) x.im)>
#<alt (* (pow x.re 2) (- (/ 1 x.im) (/ 1 x.re)))>
#<alt (* (pow x.re 2) (- (/ 1 x.im) (/ 1 x.re)))>
#<alt (* (pow x.re 2) (- (/ 1 x.im) (/ 1 x.re)))>
#<alt (/ (pow x.re 2) x.im)>
#<alt (* (pow x.re 2) (- (/ 1 x.im) (/ 1 x.re)))>
#<alt (* (pow x.re 2) (- (/ 1 x.im) (/ 1 x.re)))>
#<alt (* (pow x.re 2) (- (/ 1 x.im) (/ 1 x.re)))>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (+ (* -1 (* x.im x.re)) (pow x.re 2)) x.im)>
#<alt (/ (+ (* -1 (* x.im x.re)) (pow x.re 2)) x.im)>
#<alt (/ (+ (* -1 (* x.im x.re)) (pow x.re 2)) x.im)>
#<alt (* -1 x.re)>
#<alt (+ (* -1 x.re) (/ (pow x.re 2) x.im))>
#<alt (+ (* -1 x.re) (/ (pow x.re 2) x.im))>
#<alt (+ (* -1 x.re) (/ (pow x.re 2) x.im))>
#<alt (* -1 x.re)>
#<alt (+ (* -1 x.re) (/ (pow x.re 2) x.im))>
#<alt (+ (* -1 x.re) (/ (pow x.re 2) x.im))>
#<alt (+ (* -1 x.re) (/ (pow x.re 2) x.im))>

Calls

111 calls:

Time	Variable		Point	Expression
2.0ms	x.im	@	0	(* (+ x.re x.im) (* (- x.re x.im) x.re))
1.0ms	x.im	@	-inf	(+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)
1.0ms	x.re	@	0	(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)))
1.0ms	x.re	@	0	(+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)
0.0ms	x.im	@	-inf	(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)))

rewrite845.0ms (3.9%)

Memory

24.5MiB live, 1 162.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 430×	`-lowering-.f32`
5 430×	`-lowering-.f64`
4 908×	`accelerator-lowering-fma.f32`
4 908×	`accelerator-lowering-fma.f64`
4 500×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	161
1	261	142
2	2746	142
0	10263	139

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 269

Calls

Call 1

Inputs
(+ (* (neg x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (* (- x.re x.im) x.re)))
(+ x.im x.im)
(+ x.re x.im)
(- x.re x.im)
(+ (* x.re (* x.re x.re)) 0)
(* x.re x.re)
(+ (* x.re (+ (* x.re x.re) (* (* x.im x.im) -3))) 0)
(+ (* x.re x.re) (* (* x.im x.im) -3))
(* (* x.im x.im) -3)
(* x.im x.im)
(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (- 0 (* x.re (* x.im x.im))))
(- 0 x.im)
(- 0 (* x.re (* x.im x.im)))
(+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)
(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0)))
(* (+ x.re x.im) (* (- x.re x.im) x.re))
(* (- x.re x.im) x.re)
(neg x.im)
(* x.re (* x.im x.im))
(* x.re (+ x.im x.im))
(* (+ x.re x.im) (+ (* x.im (+ (* x.re (+ -1 (/ x.re x.im))) 0)) 0))
(+ (* x.re (+ -1 (/ x.re x.im))) 0)

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

simplify436.0ms (2%)

Memory

-27.1MiB live, 681.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 574×	`accelerator-lowering-fma.f32`
11 574×	`accelerator-lowering-fma.f64`
3 228×	`-lowering-.f32`
3 228×	`-lowering-.f64`
2 664×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	3670
1	689	3039
2	2201	2927
3	7352	2927
0	8085	2852

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval310.0ms (1.4%)

Memory: 3.4MiB live, 619.7MiB allocated
Compiler: Compiled 89 783 to 4 175 computations (95.3% saved)

prune261.0ms (1.2%)

Memory

48.5MiB live, 554.4MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 936	10	1 946
Fresh	6	5	11
Picked	4	1	5
Done	0	0	0
Total	1 946	16	1 962

Accuracy

100.0%

Counts

1 962 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.9%	(fma.f64 (fma.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 0 binary64)) (.f64 x.im (+.f64 x.im x.re)) (-.f64 #s(literal 0 binary64) (.f64 x.re #s(literal 0 binary64))))
▶	89.4%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.im x.re) #s(literal 0 binary64))))))
	86.5%	(fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64)))
	31.8%	(fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (/.f64 (.f64 (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.re (.f64 x.re x.re) #s(literal 0 binary64))) (.f64 x.re (-.f64 x.re x.im))) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
▶	72.3%	(fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (*.f64 (-.f64 x.re x.im) x.re)))
✓	90.5%	(fma.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 0 binary64))
▶	47.7%	(fma.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
	54.2%	(fma.f64 x.im (fma.f64 x.re (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
	74.4%	(fma.f64 x.im (.f64 x.im (fma.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
	60.6%	(pow.f64 x.re #s(literal 3 binary64))
	8.3%	(/.f64 (fma.f64 (.f64 x.re x.re) (.f64 x.re (fma.f64 x.re (.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x.re (.f64 x.re x.re) #s(literal 0 binary64)))
▶	17.8%	(/.f64 (*.f64 x.re (fma.f64 x.re (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.re x.re #s(literal 0 binary64)))
	60.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))))
	89.3%	(.f64 (fma.f64 x.im (.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re)) x.re)
▶	60.5%	(.f64 (.f64 x.re x.re) x.re)
	47.8%	(.f64 x.re (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))

Compiler

Compiled 505 to 276 computations (45.3% saved)

simplify732.0ms (3.4%)

Memory

-245.7MiB live, 896.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x.re x.re #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x.re (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	1856	(/.f64 (*.f64 x.re (fma.f64 x.re (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.re x.re #s(literal 0 binary64)))
✓	cost-diff	-64	(neg.f64 x.im)
✓	cost-diff	0	(-.f64 x.re x.im)
✓	cost-diff	0	(+.f64 x.im x.im)
✓	cost-diff	960	(fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (*.f64 (-.f64 x.re x.im) x.re)))
✓	cost-diff	-64	(fma.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 x.re x.re)
✓	cost-diff	-64	(.f64 (.f64 x.re x.re) x.re)
✓	cost-diff	0	(+.f64 x.im x.im)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x.im)
✓	cost-diff	832	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.im x.re) #s(literal 0 binary64))))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.im x.re) #s(literal 0 binary64))))

Rules

15 118×	`accelerator-lowering-fma.f32`
15 118×	`accelerator-lowering-fma.f64`
3 238×	`-lowering-.f32`
3 238×	`-lowering-.f64`
2 012×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	195
1	113	183
2	278	171
3	1012	169
4	3058	167
5	7571	167
0	8166	165

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (/ 1 (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)))))
(- 0 x.im)
0
x.im
(* x.re (+ x.im x.im))
x.re
(+ x.im x.im)
(* (+ x.re x.im) (/ 1 (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0))))
(+ x.re x.im)
(/ 1 (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)))
1
(/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0))
(+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)
(+ -1 (/ x.re x.im))
-1
(/ x.re x.im)
(* x.im x.re)
(* (* x.re x.re) x.re)
(* x.re x.re)
x.re
(+ (* x.re (+ (* x.im (* x.im -3)) 0)) 0)
x.re
(+ (* x.im (* x.im -3)) 0)
x.im
(* x.im -3)
-3
0
(+ (* (neg x.im) (* x.re (+ x.im x.im))) (* x.im (* (- x.re x.im) x.re)))
(neg x.im)
x.im
(* x.re (+ x.im x.im))
x.re
(+ x.im x.im)
(* x.im (* (- x.re x.im) x.re))
(* (- x.re x.im) x.re)
(- x.re x.im)
(/ (* x.re (+ (* x.re (+ (* x.re (+ (* x.re x.re) 0)) 0)) 0)) (+ (* x.re x.re) 0))
(* x.re (+ (* x.re (+ (* x.re (+ (* x.re x.re) 0)) 0)) 0))
x.re
(+ (* x.re (+ (* x.re (+ (* x.re x.re) 0)) 0)) 0)
(+ (* x.re (+ (* x.re x.re) 0)) 0)
(+ (* x.re x.re) 0)
0

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

localize125.0ms (0.6%)

Memory

-1.3MiB live, 349.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x.re (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	99.9%	(*.f64 x.re (fma.f64 x.re (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
✓	accuracy	99.9%	(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	44.2%	(/.f64 (*.f64 x.re (fma.f64 x.re (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.re x.re #s(literal 0 binary64)))
✓	accuracy	100.0%	(neg.f64 x.im)
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.re)
✓	accuracy	94.3%	(fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (*.f64 (-.f64 x.re x.im) x.re)))
✓	accuracy	93.6%	(.f64 x.im (.f64 (-.f64 x.re x.im) x.re))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64))
✓	accuracy	86.7%	(fma.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.9%	(.f64 (.f64 x.re x.re) x.re)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.im x.re) #s(literal 0 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.im x.re) #s(literal 0 binary64)))
✓	accuracy	94.3%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.im x.re) #s(literal 0 binary64))))))
✓	accuracy	93.4%	(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.im x.re) #s(literal 0 binary64))

Samples

71.0ms

256×

valid

Compiler

Compiled 238 to 42 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 28.0ms (53.2% of total)

ival-add: 12.0ms (22.8% of total)

ival-div: 7.0ms (13.3% of total)

ival-sub: 3.0ms (5.7% of total)

ival-neg: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

2.5MiB live, 41.9MiB allocated

Counts

21 → 360

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)))>
#<alt (+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (/ 1 (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)))))>
#<alt (- 0 x.im)>
#<alt (+ x.im x.im)>
#<alt (* (* x.re x.re) x.re)>
#<alt (* x.re x.re)>
#<alt (+ (* x.im (* x.im -3)) 0)>
#<alt (* x.im -3)>
#<alt (+ (* x.re (+ (* x.im (* x.im -3)) 0)) 0)>
#<alt (+ (* (neg x.im) (* x.re (+ x.im x.im))) (* x.im (* (- x.re x.im) x.re)))>
#<alt (- x.re x.im)>
#<alt (neg x.im)>
#<alt (/ (* x.re (+ (* x.re (+ (* x.re (+ (* x.re x.re) 0)) 0)) 0)) (+ (* x.re x.re) 0))>
#<alt (+ (* x.re (+ (* x.re (+ (* x.re x.re) 0)) 0)) 0)>
#<alt (+ (* x.re (+ (* x.re x.re) 0)) 0)>
#<alt (+ (* x.re x.re) 0)>
#<alt (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)>
#<alt (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0))>
#<alt (* x.im (* (- x.re x.im) x.re))>
#<alt (* (- x.re x.im) x.re)>
#<alt (* x.re (+ (* x.re (+ (* x.re (+ (* x.re x.re) 0)) 0)) 0))>

Outputs
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<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))))))>
#<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))))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im)))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im)))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (pow x.re 2) x.im))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (pow x.re 2) x.im))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (pow x.re 2) x.im))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (pow x.re 2) x.im))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (pow x.re 2) x.im))))>
#<alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (pow x.re 2) x.im))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.im x.re))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.im x.re))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.im x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re))))>
#<alt (* -1 x.im)>
#<alt (- x.re x.im)>
#<alt (- x.re x.im)>
#<alt (- x.re x.im)>
#<alt x.re>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt x.re>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt x.re>
#<alt (+ x.re (* -1 x.im))>
#<alt (+ x.re (* -1 x.im))>
#<alt (+ x.re (* -1 x.im))>
#<alt (* -1 x.im)>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* -1 x.im)>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (/ -1 (* x.im x.re))>
#<alt (/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im)) x.re)>
#<alt (/ (- (* x.re (- (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) x.re)>
#<alt (/ (- (* x.re (- (* x.re (- (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) x.re)>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (/ x.im x.re)) (pow x.re 2))>
#<alt (/ (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ x.im x.re))) (pow x.re 2))>
#<alt (/ (- (+ 1 (/ (pow x.im 3) (pow x.re 3))) (+ (* -1 (/ x.im x.re)) (* -1 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (/ x.im x.re)) (pow x.re 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.im 2) x.re)) x.im) x.re))) (pow x.re 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 3) x.re) (* -1 (pow x.im 2))) x.re)) x.im) x.re))) (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (+ (/ 1 (pow x.re 2)) (/ x.im (pow x.re 3)))>
#<alt (+ (* x.im (+ (/ 1 (pow x.re 3)) (/ x.im (pow x.re 4)))) (/ 1 (pow x.re 2)))>
#<alt (+ (* x.im (+ (* x.im (+ (/ 1 (pow x.re 4)) (/ x.im (pow x.re 5)))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))>
#<alt (/ -1 (* x.im x.re))>
#<alt (* -1 (/ (+ (/ 1 x.im) (/ 1 x.re)) x.im))>
#<alt (/ (- (* -1 (/ x.re (pow x.im 2))) (+ (/ 1 x.im) (/ 1 x.re))) x.im)>
#<alt (/ (- (* -1 (/ (pow x.re 2) (pow x.im 3))) (+ (/ 1 x.im) (+ (/ 1 x.re) (/ x.re (pow x.im 2))))) x.im)>
#<alt (/ -1 (* x.im x.re))>
#<alt (* -1 (/ (+ (/ 1 x.im) (/ 1 x.re)) x.im))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x.re x.im)) 1) x.im)) (/ 1 x.re)) x.im))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x.re (/ (pow x.re 2) x.im)) x.im)) 1) x.im)) (/ 1 x.re)) x.im))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* -1 (* x.im x.re)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (* x.im x.re)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (* x.im x.re)) (pow x.re 2)))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.im x.re)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.im x.re)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.im x.re)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>
#<alt (pow x.re 5)>

Calls

90 calls:

Time	Variable		Point	Expression
1.0ms	x.im	@	0	(/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0))
0.0ms	x.re	@	-inf	(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (/ 1 (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)))))
0.0ms	x.im	@	-inf	(+ (* (neg x.im) (* x.re (+ x.im x.im))) (* x.im (* (- x.re x.im) x.re)))
0.0ms	x.re	@	inf	(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (/ 1 (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)))))
0.0ms	x.re	@	-inf	(+ (* (neg x.im) (* x.re (+ x.im x.im))) (* x.im (* (- x.re x.im) x.re)))

rewrite567.0ms (2.6%)

Memory

-2.4MiB live, 659.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 414×	`-lowering-.f32`
4 414×	`-lowering-.f64`
3 564×	`/-lowering-/.f32`
3 564×	`/-lowering-/.f64`
3 202×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	131
1	289	111
2	2927	109
0	8920	107

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 138

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)))
(+ (* (- 0 x.im) (* x.re (+ x.im x.im))) (* (+ x.re x.im) (/ 1 (/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)))))
(- 0 x.im)
(+ x.im x.im)
(* (* x.re x.re) x.re)
(* x.re x.re)
(+ (* x.im (* x.im -3)) 0)
(* x.im -3)
(+ (* x.re (+ (* x.im (* x.im -3)) 0)) 0)
(+ (* (neg x.im) (* x.re (+ x.im x.im))) (* x.im (* (- x.re x.im) x.re)))
(- x.re x.im)
(neg x.im)
(/ (* x.re (+ (* x.re (+ (* x.re (+ (* x.re x.re) 0)) 0)) 0)) (+ (* x.re x.re) 0))
(+ (* x.re (+ (* x.re (+ (* x.re x.re) 0)) 0)) 0)
(+ (* x.re (+ (* x.re x.re) 0)) 0)
(+ (* x.re x.re) 0)
(+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0)
(/ 1 (+ (* (+ -1 (/ x.re x.im)) (* x.im x.re)) 0))
(* x.im (* (- x.re x.im) x.re))
(* (- x.re x.im) x.re)
(* x.re (+ (* x.re (+ (* x.re (+ (* x.re x.re) 0)) 0)) 0))

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

simplify512.0ms (2.4%)

Memory

-1.9MiB live, 763.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 726×	`accelerator-lowering-fma.f32`
11 726×	`accelerator-lowering-fma.f64`
3 944×	`-lowering-.f32`
3 944×	`-lowering-.f64`
2 340×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	2254
1	665	2172
2	1932	2098
3	6538	2094
0	8260	2056

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval248.0ms (1.1%)

Memory: 13.7MiB live, 422.5MiB allocated
Compiler: Compiled 44 454 to 3 487 computations (92.2% saved)

prune187.0ms (0.9%)

Memory

16.6MiB live, 496.7MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 557	11	1 568
Fresh	7	3	10
Picked	3	2	5
Done	1	0	1
Total	1 568	16	1 584

Accuracy

100.0%

Counts

1 584 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(fma.f64 (-.f64 x.re x.im) (*.f64 x.re x.im) #s(literal 0 binary64))
	89.4%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) (*.f64 x.re x.im)))))
	53.8%	(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.re)))))
	74.2%	(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 (.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal 0 binary64))
	74.7%	(fma.f64 (.f64 (+.f64 x.re x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) (.f64 x.re x.im) #s(literal 0 binary64))
	53.2%	(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64))
	31.8%	(fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (/.f64 (.f64 (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.re (.f64 x.re x.re) #s(literal 0 binary64))) (.f64 x.re (-.f64 x.re x.im))) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
✓	72.3%	(fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (*.f64 (-.f64 x.re x.im) x.re)))
	17.8%	(/.f64 (.f64 x.re (fma.f64 x.re (fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 x.re x.re))
	60.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))))
	89.3%	(.f64 (fma.f64 x.im (.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re)) x.re)
	47.8%	(.f64 (.f64 x.re (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -3 binary64))
	54.2%	(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
✓	60.5%	(.f64 (.f64 x.re x.re) x.re)
	54.2%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
	79.3%	(.f64 x.im (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re)))

Compiler

Compiled 1 036 to 296 computations (71.4% saved)

regimes48.0ms (0.2%)

Memory

4.5MiB live, 113.1MiB allocated

Counts

47 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x.im
14.0ms	x.re
13.0ms	(-.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)

regimes20.0ms (0.1%)

Memory

-3.7MiB live, 39.1MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs
(-.f64 (.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 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64))

Calls

2 calls:

13.0ms	x.re
6.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.8%	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))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes21.0ms (0.1%)

Memory

22.0MiB live, 60.8MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs
(fma.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 0 binary64))
(.f64 x.im (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re)))

Calls

3 calls:

7.0ms	x.re
7.0ms	x.im
6.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.8%	2	`x.im`
99.8%	2	`x.re`
99.4%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes11.0ms (0%)

Memory

-2.0MiB live, 37.2MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x.re x.re) x.re)
(fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re x.im) #s(literal 0 binary64))
(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
(.f64 x.im (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re)))
(.f64 x.re (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 x.re (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -3 binary64))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 x.im (.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re)) x.re)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))

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

Calls

2 calls:

5.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
99.4%	3	`x.re`
99.8%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

4.7MiB live, 44.3MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
(.f64 (.f64 x.re x.re) x.re)
(fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re x.im) #s(literal 0 binary64))
(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
(.f64 x.im (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re)))
(.f64 x.re (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 x.re (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -3 binary64))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
84.4%	3	`x.re`
99.4%	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))`
96.1%	2	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes22.0ms (0.1%)

Memory

-52.9MiB live, 19.5MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x.re x.re) x.re)
(fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re x.im) #s(literal 0 binary64))

Outputs
(.f64 (.f64 x.re x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re x.im) #s(literal 0 binary64))

Calls

3 calls:

17.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
65.4%	2	`x.re`
79.2%	2	`x.im`
79.9%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x.re x.re) x.re)
(fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64))

Outputs
(.f64 (.f64 x.re x.re) x.re)
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64))

Calls

1 calls:

2.0ms

x.im

Results

Accuracy	Segments	Branch
78.4%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x.re x.re) x.re)
(fma.f64 x.re (*.f64 x.re x.re) #s(literal 0 binary64))
(fma.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))

Outputs
(.f64 (.f64 x.re x.re) x.re)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.5%	1	`x.re`
60.5%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
60.5%	1	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch16.0ms (0.1%)

Memory

-38.5MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
16.0ms	+inf	NaN

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	+inf	NaN

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch15.0ms (0.1%)

Memory

29.7MiB live, 29.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.022250229039628e+117	1.620112473380044e+121

Samples

9.0ms

128×

valid

Compiler

Compiled 224 to 144 computations (35.7% saved)

Precisions

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

ival-mult: 4.0ms (66.9% of total)

ival-sub: 1.0ms (16.7% of total)

ival-add: 1.0ms (16.7% of total)

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

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

bsearch2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.620112473380044e+121	6.39791306113202e+125

Samples

1.0ms

16×

valid

Compiler

Compiled 48 to 31 computations (35.4% saved)

Precisions

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

ival-mult: 1.0ms (129.6% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.210590958624348e-286	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch58.0ms (0.3%)

Memory

0.6MiB live, 40.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	2.0889523502877325e+27	6.95568889360764e+33

Samples

52.0ms

144×

valid

Compiler

Compiled 195 to 124 computations (36.4% saved)

Precisions

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

ival-mult: 5.0ms (73.3% of total)

ival-sub: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

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

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

bsearch19.0ms (0.1%)

Memory

-26.7MiB live, 51.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.0889523502877325e+27	6.95568889360764e+33

Samples

11.0ms

144×

valid

Compiler

Compiled 195 to 124 computations (36.4% saved)

Precisions

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

ival-mult: 5.0ms (69.9% of total)

ival-sub: 1.0ms (14% of total)

ival-add: 1.0ms (14% of total)

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

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

simplify13.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
30×	`+-commutative_binary64`
26×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	242
1	91	242
2	117	242
3	141	242
4	154	242
5	161	242
6	163	242

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))) (fma.f64 (.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 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 +inf.0 binary64)) (-.f64 (.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 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 29000000000000001606091450439968743772459016428814862474196806344110346086584795579139759884806863444624939613339779072 binary64)) (fma.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 0 binary64)) (.f64 x.im (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re))))
(if (<=.f64 x.im #s(literal 20000000000000000746818674942919779438786551508983640762055460820756010161342994202757226742842252830104798058684384018432 binary64)) (.f64 (fma.f64 x.im (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.re)) x.re) (.f64 x.im (*.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) (.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (.f64 (.f64 x.re x.re) x.re) (fma.f64 (.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64))))
(if (<=.f64 x.im #s(literal 125999999999999996313013242036224 binary64)) (.f64 (.f64 x.re x.re) x.re) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 3399999999999999930247935816630272 binary64)) (.f64 (.f64 x.re x.re) x.re) (fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64)))
(.f64 (.f64 x.re x.re) x.re)

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (fma.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))) (fma.f64 (.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 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 +inf.0 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re (+.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))) (fma.f64 (.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 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 +inf.0 binary64)) (-.f64 (.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 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 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 +inf.0 binary64)) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im))) (.f64 x.im (.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 29000000000000001606091450439968743772459016428814862474196806344110346086584795579139759884806863444624939613339779072 binary64)) (fma.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 0 binary64)) (.f64 x.im (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re))))
(if (<=.f64 x.im #s(literal 20000000000000000746818674942919779438786551508983640762055460820756010161342994202757226742842252830104798058684384018432 binary64)) (.f64 (fma.f64 x.im (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.re)) x.re) (.f64 x.im (*.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re))))
(if (<=.f64 x.im #s(literal 20000000000000000746818674942919779438786551508983640762055460820756010161342994202757226742842252830104798058684384018432 binary64)) (.f64 x.re (fma.f64 x.im (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.re))) (.f64 x.im (*.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) (.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (.f64 (.f64 x.re x.re) x.re) (fma.f64 (.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 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 -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) (.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))) (if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (.f64 x.re (.f64 x.re x.re)) (fma.f64 (.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64))))
(if (<=.f64 x.im #s(literal 125999999999999996313013242036224 binary64)) (.f64 (.f64 x.re x.re) x.re) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 125999999999999996313013242036224 binary64)) (.f64 x.re (.f64 x.re x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 3399999999999999930247935816630272 binary64)) (.f64 (.f64 x.re x.re) x.re) (fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 3399999999999999930247935816630272 binary64)) (.f64 x.re (.f64 x.re x.re)) (fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re #s(literal 0 binary64)))
(.f64 (.f64 x.re x.re) x.re)
(.f64 x.re (.f64 x.re x.re))

soundness1.7s (7.7%)

Memory

-13.1MiB live, 1 174.6MiB allocated

Rules

14 226×	`accelerator-lowering-fma.f32`
14 226×	`accelerator-lowering-fma.f64`
12 920×	`accelerator-lowering-fma.f32`
12 920×	`accelerator-lowering-fma.f64`
11 726×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	131
1	289	111
2	2927	109
0	8920	107
0	11	51
1	73	39
0	562	38
0	35	161
1	261	142
2	2746	142
0	10263	139
0	206	3670
1	689	3039
2	2201	2927
3	7352	2927
0	8085	2852
0	314	4825
1	981	3951
2	3043	3783
0	8184	3667
0	43	211
1	301	130
2	3568	110
0	8351	108
0	213	2254
1	665	2172
2	1932	2098
3	6538	2094
0	8260	2056
0	56	924
1	169	852
2	519	852
3	2117	852
4	5791	852
0	8250	834

Stop Event

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

Compiler

Compiled 777 to 361 computations (53.5% saved)

preprocess333.0ms (1.5%)

Memory: 33.8MiB live, 187.8MiB allocated
Compiler: Compiled 970 to 348 computations (64.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample10.4s (48.1%)

preprocess586.0ms (2.7%)

explain162.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify601.0ms (2.8%)

localize34.0ms (0.2%)

series15.0ms (0.1%)

rewrite62.0ms (0.3%)

simplify377.0ms (1.7%)

eval37.0ms (0.2%)

prune21.0ms (0.1%)

simplify401.0ms (1.8%)

localize138.0ms (0.6%)

series25.0ms (0.1%)

rewrite431.0ms (2%)

simplify598.0ms (2.8%)

eval348.0ms (1.6%)

prune282.0ms (1.3%)

simplify498.0ms (2.3%)

localize119.0ms (0.5%)

series15.0ms (0.1%)

rewrite845.0ms (3.9%)

simplify436.0ms (2%)

eval310.0ms (1.4%)

prune261.0ms (1.2%)

simplify732.0ms (3.4%)

localize125.0ms (0.6%)

series15.0ms (0.1%)

rewrite567.0ms (2.6%)

simplify512.0ms (2.4%)

eval248.0ms (1.1%)

prune187.0ms (0.9%)

regimes48.0ms (0.2%)

regimes20.0ms (0.1%)

regimes21.0ms (0.1%)

regimes11.0ms (0%)

regimes13.0ms (0.1%)

regimes22.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch16.0ms (0.1%)

bsearch0.0ms (0%)

bsearch15.0ms (0.1%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch58.0ms (0.3%)

bsearch19.0ms (0.1%)

simplify13.0ms (0.1%)

soundness1.7s (7.7%)

preprocess333.0ms (1.5%)

end0.0ms (0%)

Profiling