Metrics for math.cube on complex, imaginary 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)

sample1.0s (11.2%)

Memory

14.8MiB live, 1 809.5MiB allocated

Samples

767.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 476.0ms

ival-mult: 358.0ms (75.1% of total)

ival-add: 71.0ms (14.9% of total)

ival-sub: 39.0ms (8.2% of total)

ival-true: 5.0ms (1% of total)

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

Bogosity

preprocess561.0ms (6.2%)

Memory

-4.1MiB live, 1 032.6MiB allocated

Algorithm

2×	egg-herbie

Rules

19 136×	`accelerator-lowering-fma.f32`
19 136×	`accelerator-lowering-fma.f64`
2 550×	`+-lowering-+.f64`
2 550×	`+-lowering-+.f32`
2 546×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	120
1	112	104
2	316	102
3	1355	68
4	3597	66
5	5837	66
6	6655	66
7	7075	66
8	7250	66
9	7340	66
10	7350	66
0	11	19
1	24	17
2	55	17
3	141	11
4	347	11
5	1002	11
6	1921	11
7	4832	11
8	7188	11
0	8107	11

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x.re)

(negabs x.im)

explain150.0ms (1.7%)

Memory

17.9MiB live, 330.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	22	0
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	22	0
↳	`(*.f64 x.re x.re)`	overflow	60
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	121
↳	`(*.f64 x.im x.im)`	overflow	71
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	109
↳	`(*.f64 x.im x.re)`	overflow	26
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	51
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	26
↳	`(*.f64 x.re x.im)`	overflow	26
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	10	0
↳	`(*.f64 x.re x.re)`	overflow	60
↳	`(*.f64 x.im x.im)`	overflow	71

Confusion

	Predicted +	Predicted -
+	45	0
-	0	211

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	0
-	0	0	211

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	211
1	36
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions

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

ival-mult: 18.0ms (70.6% of total)

ival-add: 4.0ms (15.7% of total)

ival-sub: 2.0ms (7.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.8%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 21 to 11 computations (47.6% saved)

simplify434.0ms (4.8%)

Memory

1.9MiB live, 676.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	384	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Rules

19 136×	`accelerator-lowering-fma.f32`
19 136×	`accelerator-lowering-fma.f64`
2 550×	`+-lowering-+.f64`
2 550×	`+-lowering-+.f32`
2 546×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	24	59
2	55	59
3	141	53
4	347	53
5	1002	53
6	1921	53
7	4832	53
8	7188	53
0	8107	53

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize35.0ms (0.4%)

Memory

22.1MiB live, 64.2MiB 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.re)
✓	accuracy	96.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	91.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	91.3%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

23.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (59.7% of total)

ival-add: 5.0ms (33.2% of total)

ival-sub: 1.0ms (6.6% of total)

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

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

series14.0ms (0.2%)

Memory

-10.4MiB live, 26.2MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	0	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.im	@	-inf	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms	x.im	@	-inf	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.re	@	0	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.re	@	inf	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite84.0ms (0.9%)

Memory

-36.6MiB live, 105.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

408×	`accelerator-lowering-fma.f32`
408×	`accelerator-lowering-fma.f64`
338×	`-lowering-.f32`
338×	`-lowering-.f64`
150×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	69	39
0	526	38

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

5 → 77

Calls

Call 1

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

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

simplify377.0ms (4.2%)

Memory

17.0MiB live, 561.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 068×	`accelerator-lowering-fma.f32`
16 068×	`accelerator-lowering-fma.f64`
3 490×	`-lowering-.f32`
3 490×	`-lowering-.f64`
1 406×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	891
1	182	855
2	587	855
3	2558	855
4	6904	855
0	8717	855

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval19.0ms (0.2%)

Memory: -1.0MiB live, 34.7MiB allocated
Compiler: Compiled 4 494 to 286 computations (93.6% saved)

prune22.0ms (0.2%)

Memory

-9.6MiB live, 42.2MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	187	10	197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	10	198

Accuracy

99.9%

Counts

198 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
	12.5%	(+.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 (.f64 x.im x.im) x.im) x.im))) x.im) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	30.9%	(+.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 (.f64 x.im x.im) x.im) x.im)) x.im) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	70.7%	(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	82.8%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	82.5%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
▶	91.2%	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	44.7%	(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	87.5%	(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
▶	44.3%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 440 to 214 computations (51.4% saved)

simplify902.0ms (10%)

Memory

39.1MiB live, 779.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x.im (.f64 x.im x.im))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	256	(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	cost-diff	384	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
✓	cost-diff	0	(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	cost-diff	0	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	384	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Rules

23 082×	`accelerator-lowering-fma.f32`
23 082×	`accelerator-lowering-fma.f64`
2 842×	`-lowering-.f32`
2 842×	`-lowering-.f64`
2 530×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	230
1	70	211
2	166	205
3	476	193
4	1169	193
5	2980	193
6	5200	193
7	6878	193
8	7667	193
9	7975	193
10	7979	193
11	7979	193
0	8445	193

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize206.0ms (2.3%)

Memory

6.7MiB live, 163.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	90.2%	(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	accuracy	96.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	91.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	91.3%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
✓	accuracy	83.6%	(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	96.2%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
✓	accuracy	91.5%	(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	83.6%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	91.3%	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

168.0ms

256×

valid

Compiler

Compiled 228 to 30 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 94.0ms (73.4% of total)

ival-add: 29.0ms (22.6% of total)

ival-sub: 4.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.4%)

Memory

-22.1MiB live, 19.5MiB allocated

Counts

18 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
26.0ms	x.re	@	0	(+ (- 0 (* x.im (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.im	@	inf	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.re	@	-inf	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.re	@	0	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.im	@	0	(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

rewrite698.0ms (7.8%)

Memory

2.6MiB live, 598.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 748×	`accelerator-lowering-fma.f32`
7 748×	`accelerator-lowering-fma.f64`
4 206×	`/-lowering-/.f32`
4 206×	`/-lowering-/.f64`
4 044×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	147
1	173	128
2	1463	126
0	8541	119

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 035

Calls

Call 1

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

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

simplify474.0ms (5.3%)

Memory

-8.1MiB live, 609.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 052×	`accelerator-lowering-fma.f32`
10 052×	`accelerator-lowering-fma.f64`
3 092×	`-lowering-.f32`
3 092×	`-lowering-.f64`
2 446×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	3701
1	624	3169
2	2003	2917
3	7372	2914
0	8540	2861

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

eval205.0ms (2.3%)

Memory: 16.3MiB live, 480.8MiB allocated
Compiler: Compiled 48 851 to 3 045 computations (93.8% saved)

prune230.0ms (2.6%)

Memory

19.4MiB live, 413.9MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1 617	9	1 626
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	1 624	12	1 636

Accuracy

100.0%

Counts

1 636 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.5%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
	65.5%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
	70.8%	(+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	82.9%	(+.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.im) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
▶	91.2%	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	75.8%	(+.f64 (.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (-.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
▶	52.6%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	52.7%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im))
▶	52.7%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	87.5%	(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
	69.2%	(.f64 x.im (.f64 (.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))))
✓	44.3%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 330 to 200 computations (39.4% saved)

simplify355.0ms (3.9%)

Memory

-16.5MiB live, 704.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(*.f64 (+.f64 x.re x.im) x.im)
✓	cost-diff	128	(/.f64 (*.f64 (+.f64 x.re x.im) x.im) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)))
✓	cost-diff	384	(+.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.im) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im)))
✓	cost-diff	128	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
✓	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓	cost-diff	0	(*.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	cost-diff	0	(*.f64 (-.f64 x.re x.im) x.im)
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))
✓	cost-diff	384	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Rules

15 148×	`accelerator-lowering-fma.f32`
15 148×	`accelerator-lowering-fma.f64`
2 338×	`-lowering-.f32`
2 338×	`-lowering-.f64`
1 980×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	203
1	81	203
2	178	197
3	390	197
4	861	197
5	2109	185
6	5144	185
0	8140	184

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize115.0ms (1.3%)

Memory

15.0MiB live, 245.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))
✓	accuracy	99.8%	(/.f64 (*.f64 (+.f64 x.re x.im) x.im) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)))
✓	accuracy	91.3%	(+.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.im) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
✓	accuracy	83.6%	(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im)))
✓	accuracy	96.2%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
✓	accuracy	91.9%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))))
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓	accuracy	99.7%	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
✓	accuracy	100.0%	(*.f64 x.re #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	accuracy	99.7%	(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	99.8%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
✓	accuracy	91.3%	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

65.0ms

256×

valid

Compiler

Compiled 205 to 33 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 32.0ms (69.9% of total)

ival-div: 7.0ms (15.3% of total)

ival-add: 5.0ms (10.9% of total)

ival-sub: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

13.7MiB live, 50.0MiB allocated

Counts

20 → 444

Calls

Call 1

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

Outputs
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) 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 (pow x.im 2))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<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 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (/ -1 (pow x.im 2))>
#<alt (- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))>
#<alt (- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))>
#<alt (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))>
#<alt (/ 1/3 (pow x.re 2))>
#<alt (/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))>
#<alt (/ 1/3 (pow x.re 2))>
#<alt (/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))>
#<alt (/ 1/3 (pow x.re 2))>
#<alt (+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))>
#<alt (+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))>
#<alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))>
#<alt (/ -1 (pow x.im 2))>
#<alt (/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))>
#<alt (/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))>
#<alt (/ -1 (pow x.im 2))>
#<alt (/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))>
#<alt (/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (pow x.im 2)>
#<alt (+ (* x.im x.re) (pow x.im 2))>
#<alt (+ (* x.im x.re) (pow x.im 2))>
#<alt (+ (* x.im x.re) (pow x.im 2))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (/ (pow x.im 2) x.re)))>
#<alt (* x.re (+ x.im (/ (pow x.im 2) x.re)))>
#<alt (* x.re (+ x.im (/ (pow x.im 2) x.re)))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.im x.re))>
#<alt (* x.im (+ x.im x.re))>
#<alt (* x.im (+ x.im x.re))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (/ -1 x.im)>
#<alt (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im))>
#<alt (- (* x.re (- (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im))>
#<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))>
#<alt (/ 1 x.re)>
#<alt (/ (+ 1 (/ x.im x.re)) x.re)>
#<alt (/ (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ x.im x.re))) x.re)>
#<alt (/ (- (+ 1 (/ (pow x.im 3) (pow x.re 3))) (+ (* -1 (/ x.im x.re)) (* -1 (/ (pow x.im 2) (pow x.re 2))))) x.re)>
#<alt (/ 1 x.re)>
#<alt (* -1 (/ (- (* -1 (/ x.im x.re)) 1) x.re))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) (* -1 x.im)) x.re)) 1) x.re))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.im 3) x.re)) (pow x.im 2)) x.re)) (* -1 x.im)) x.re)) 1) x.re))>
#<alt (/ 1 x.re)>
#<alt (+ (/ 1 x.re) (/ x.im (pow x.re 2)))>
#<alt (+ (* x.im (+ (/ 1 (pow x.re 2)) (/ x.im (pow x.re 3)))) (/ 1 x.re))>
#<alt (+ (* x.im (+ (* x.im (+ (/ 1 (pow x.re 3)) (/ x.im (pow x.re 4)))) (/ 1 (pow x.re 2)))) (/ 1 x.re))>
#<alt (/ -1 x.im)>
#<alt (/ (- (* -1 (/ x.re x.im)) 1) x.im)>
#<alt (/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ 1 (/ x.re x.im))) x.im)>
#<alt (/ (- (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ 1 (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) x.im)>
#<alt (/ -1 x.im)>
#<alt (* -1 (/ (+ 1 (/ x.re x.im)) x.im))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.re 2) x.im)) x.re) x.im))) x.im))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 3) x.im) (* -1 (pow x.re 2))) x.im)) x.re) x.im))) x.im))>

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	-inf	(* (- x.re x.im) x.im)
1.0ms	x.re	@	inf	(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))
0.0ms	x.re	@	0	(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))
0.0ms	x.im	@	0	(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))
0.0ms	x.im	@	inf	(/ 1 (- (* 3 (* x.re x.re)) (* x.im x.im)))

rewrite112.0ms (1.2%)

Memory

-1.6MiB live, 228.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

942×	`accelerator-lowering-fma.f32`
942×	`accelerator-lowering-fma.f64`
804×	`-lowering-.f32`
804×	`-lowering-.f64`
512×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	152
1	165	150
0	1398	148

Stop Event

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

Counts

20 → 372

Calls

Call 1

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

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

simplify436.0ms (4.8%)

Memory

-8.2MiB live, 807.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 824×	`accelerator-lowering-fma.f32`
9 824×	`accelerator-lowering-fma.f64`
4 018×	`-lowering-.f32`
4 018×	`-lowering-.f64`
3 512×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	4318
1	1083	3867
2	3288	3589
0	8331	3488

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval92.0ms (1%)

Memory: 13.9MiB live, 255.0MiB allocated
Compiler: Compiled 16 237 to 1 072 computations (93.4% saved)

prune56.0ms (0.6%)

Memory

-8.6MiB live, 151.4MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	851	5	856
Fresh	3	2	5
Picked	3	2	5
Done	1	1	2
Total	858	10	868

Accuracy

100.0%

Counts

868 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.5%	(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
▶	65.5%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
	65.8%	(+.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.im) (/.f64 #s(literal -1 binary64) x.im)) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
▶	88.9%	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓	52.6%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
▶	52.6%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
▶	52.7%	(.f64 (.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
✓	52.7%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	87.5%	(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
	69.2%	(.f64 x.im (.f64 (.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))))

Compiler

Compiled 221 to 138 computations (37.6% saved)

simplify374.0ms (4.2%)

Memory

16.7MiB live, 813.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
✓	cost-diff	0	(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.im (.f64 x.im x.im))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(.f64 x.re (.f64 x.re x.im))
✓	cost-diff	0	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(.f64 (.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(.f64 (+.f64 x.re x.im) (.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓	cost-diff	256	(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))

Rules

16 040×	`accelerator-lowering-fma.f32`
16 040×	`accelerator-lowering-fma.f64`
2 698×	`-lowering-.f32`
2 698×	`-lowering-.f64`
2 024×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	139
1	67	139
2	158	137
3	444	135
4	1454	135
5	3877	125
0	8558	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize159.0ms (1.8%)

Memory

-26.0MiB live, 184.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.9%	(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
✓	accuracy	98.7%	(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re x.im))
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.re #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
✓	accuracy	99.8%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
✓	accuracy	94.8%	(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
✓	accuracy	91.3%	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

128.0ms

256×

valid

Compiler

Compiled 149 to 28 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 16.0ms (55.7% of total)

ival-div: 5.0ms (17.4% of total)

ival-add: 4.0ms (13.9% of total)

ival-sub: 2.0ms (7% of total)

exact: 1.0ms (3.5% of total)

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

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

series11.0ms (0.1%)

Memory

-10.6MiB live, 27.9MiB allocated

Counts

15 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	inf	(* (* x.re (* x.re x.im)) 3)
1.0ms	x.re	@	-inf	(* x.re (* x.im (- 1 (/ x.im x.re))))
0.0ms	x.im	@	-inf	(+ (* (+ x.re x.im) (* x.re (* x.im (- 1 (/ x.im x.re))))) (* (* x.re (+ x.im x.im)) x.re))
0.0ms	x.im	@	inf	(+ (* (+ x.re x.im) (* x.re (* x.im (- 1 (/ x.im x.re))))) (* (* x.re (+ x.im x.im)) x.re))
0.0ms	x.im	@	0	(+ (* (+ x.re x.im) (* x.re (* x.im (- 1 (/ x.im x.re))))) (* (* x.re (+ x.im x.im)) x.re))

rewrite79.0ms (0.9%)

Memory

-1.4MiB live, 157.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

628×	`-lowering-.f32`
628×	`-lowering-.f64`
506×	`accelerator-lowering-fma.f32`
506×	`accelerator-lowering-fma.f64`
436×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	97
1	137	96
0	1014	95

Stop Event

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

Counts

15 → 244

Calls

Call 1

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

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

simplify424.0ms (4.7%)

Memory

22.2MiB live, 829.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 804×	`accelerator-lowering-fma.f32`
14 804×	`accelerator-lowering-fma.f64`
3 698×	`-lowering-.f32`
3 698×	`-lowering-.f64`
1 552×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1821
1	369	1635
2	1122	1555
3	3907	1539
0	8513	1539

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval60.0ms (0.7%)

Memory: -14.1MiB live, 132.1MiB allocated
Compiler: Compiled 8 356 to 478 computations (94.3% saved)

prune41.0ms (0.5%)

Memory

6.8MiB live, 99.6MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	569	5	574
Fresh	1	1	2
Picked	3	2	5
Done	0	3	3
Total	573	11	584

Accuracy

100.0%

Counts

584 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(/.f64 x.im (/.f64 (/.f64 #s(literal -1 binary64) x.im) x.im))
	65.5%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 x.im (/.f64 #s(literal -1 binary64) x.im))))
	69.9%	(+.f64 (.f64 x.im (.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	65.5%	(*.f64 (/.f64 x.im (/.f64 #s(literal -1 binary64) x.im)) x.im)
✓	52.6%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓	52.6%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	52.7%	(.f64 (.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
✓	52.7%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	87.5%	(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
	69.2%	(.f64 x.im (.f64 (.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))))
	65.5%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Compiler

Compiled 579 to 181 computations (68.7% saved)

regimes71.0ms (0.8%)

Memory

5.7MiB live, 43.0MiB allocated

Counts

30 → 2

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
9.0ms	x.im
9.0ms	x.re

Results

Accuracy	Segments	Branch
96.3%	2	`x.re`
99.4%	2	`x.im`
99.4%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes18.0ms (0.2%)

Memory

-25.2MiB live, 11.0MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

x.im

Results

Accuracy	Segments	Branch
98.7%	3	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
87.9%	2	`x.re`
86.0%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
77.6%	2	`x.im`
79.5%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Outputs
(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
65.5%	1	`x.im`
65.5%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch44.0ms (0.5%)

Memory

1.5MiB live, 74.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.0584512521017003e+147	1.159821892785526e+156
21.0ms	8.869956191078521e-122	5.858529667784802e-118

Samples

27.0ms

272×

valid

Compiler

Compiled 423 to 279 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (73.7% of total)

ival-add: 2.0ms (14.7% of total)

ival-sub: 1.0ms (7.4% of total)

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

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

bsearch20.0ms (0.2%)

Memory

-27.6MiB live, 49.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.911281307952323e+40	6.665775747252643e+45

Samples

12.0ms

144×

valid

Compiler

Compiled 195 to 133 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 7.0ms (78.3% of total)

ival-sub: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

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

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

bsearch22.0ms (0.2%)

Memory

4.4MiB live, 48.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.911281307952323e+40	6.665775747252643e+45

Samples

15.0ms

144×

valid

Compiler

Compiled 195 to 133 computations (31.8% saved)

Precisions

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

ival-mult: 10.0ms (80.9% of total)

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

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

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

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

simplify11.0ms (0.1%)

Memory

-8.3MiB live, 30.7MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
20×	`+-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	117
1	82	117
2	95	117
3	100	117
4	102	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 1561567571728843/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) x.re) (if (<=.f64 x.im #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im))) (neg.f64 (.f64 x.im (*.f64 x.im x.im)))))
(if (<=.f64 x.re #s(literal 38000000000000000777202052302849631676530688 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re))
(if (<=.f64 x.re #s(literal 144999999999999994129027945467205184913408 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Outputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.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.im (-.f64 x.re x.im))) (.f64 x.re (.f64 x.re (+.f64 x.im x.im)))) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 1561567571728843/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) x.re) (if (<=.f64 x.im #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im))) (neg.f64 (.f64 x.im (*.f64 x.im x.im)))))
(if (<=.f64 x.im #s(literal 1561567571728843/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (.f64 x.re (.f64 x.re (.f64 x.im #s(literal 3 binary64)))) (if (<=.f64 x.im #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) (.f64 x.im (*.f64 x.im x.im)))))
(if (<=.f64 x.re #s(literal 38000000000000000777202052302849631676530688 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re))
(if (<=.f64 x.re #s(literal 38000000000000000777202052302849631676530688 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 144999999999999994129027945467205184913408 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 144999999999999994129027945467205184913408 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
(neg.f64 (.f64 x.im (.f64 x.im x.im)))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))

soundness850.0ms (9.4%)

Memory

-4.8MiB live, 530.6MiB allocated

Rules

16 068×	`accelerator-lowering-fma.f32`
16 068×	`accelerator-lowering-fma.f64`
7 748×	`accelerator-lowering-fma.f32`
7 748×	`accelerator-lowering-fma.f64`
4 206×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	69	39
0	526	38
0	26	97
1	137	96
0	1014	95
0	28	147
1	173	128
2	1463	126
0	8541	119
0	57	891
1	182	855
2	587	855
3	2558	855
4	6904	855
0	8717	855

Stop Event

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

Compiler

Compiled 267 to 135 computations (49.4% saved)

preprocess154.0ms (1.7%)

Memory: 6.7MiB live, 125.4MiB allocated
Remove: (abs x.re)
Compiler: Compiled 904 to 426 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.0s (11.2%)

preprocess561.0ms (6.2%)

explain150.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify434.0ms (4.8%)

localize35.0ms (0.4%)

series14.0ms (0.2%)

rewrite84.0ms (0.9%)

simplify377.0ms (4.2%)

eval19.0ms (0.2%)

prune22.0ms (0.2%)

simplify902.0ms (10%)

localize206.0ms (2.3%)

series39.0ms (0.4%)

rewrite698.0ms (7.8%)

simplify474.0ms (5.3%)

eval205.0ms (2.3%)

prune230.0ms (2.6%)

simplify355.0ms (3.9%)

localize115.0ms (1.3%)

series20.0ms (0.2%)

rewrite112.0ms (1.2%)

simplify436.0ms (4.8%)

eval92.0ms (1%)

prune56.0ms (0.6%)

simplify374.0ms (4.2%)

localize159.0ms (1.8%)

series11.0ms (0.1%)

rewrite79.0ms (0.9%)

simplify424.0ms (4.7%)

eval60.0ms (0.7%)

prune41.0ms (0.5%)

regimes71.0ms (0.8%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch44.0ms (0.5%)

bsearch20.0ms (0.2%)

bsearch22.0ms (0.2%)

simplify11.0ms (0.1%)

soundness850.0ms (9.4%)

preprocess154.0ms (1.7%)

end0.0ms (0%)

Profiling