Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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)

sample1.2s (44.3%)

Memory

3.7MiB live, 1 318.3MiB allocated; 281ms collecting garbage

Samples

827.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 538.0ms

ival-mult!: 448.0ms (83.3% of total)

ival-sub!: 56.0ms (10.4% of total)

ival-add!: 32.0ms (6% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

explain139.0ms (5.1%)

Memory

22.2MiB live, 261.3MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(+.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))`
22	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
8	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im 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 (.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	30	0
↳	`(*.f64 x.re x.re)`	overflow	61
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	112
↳	`(*.f64 x.im x.im)`	overflow	73
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	118
↳	`(*.f64 x.im x.re)`	overflow	41
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	68
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	42
↳	`(*.f64 x.re x.im)`	overflow	41
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	22	0
↳	`(*.f64 x.re x.re)`	overflow	61
↳	`(*.f64 x.im x.im)`	overflow	73
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	8	0

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	30
2	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult!: 14.0ms (83.5% of total)

ival-add!: 2.0ms (11.9% of total)

ival-sub!: 1.0ms (6% of total)

adjust: 0.0ms (0% of total)

preprocess39.0ms (1.4%)

Memory

-26.9MiB live, 18.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	118
1	132	104
2	444	102
3	1346	68
4	4876	68

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.4%	(+.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))

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 38 to 22 computations (42.1% saved)

series14.0ms (0.5%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Counts

11 → 29

Calls

Call 1

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

Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.re) #s(hole binary64 (* 2 (* x.im (pow x.re 2)))))
#s(approx (+ (* x.re x.im) (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (* x.re x.im) #s(hole binary64 (* x.im x.re)))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* (pow x.re 2) (+ x.im (* 2 x.im)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* x.im (pow x.re 2))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))))

Calls

6 calls:

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

rewrite67.0ms (2.4%)

Memory

12.1MiB live, 57.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	662
0	118	592
0	516	576

Stop Event

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

Counts

40 → 78

Calls

Call 1

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

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

eval78.0ms (2.8%)

Memory: -61.4MiB live, 21.3MiB allocated; 127ms collecting garbage
Compiler: Compiled 1 908 to 302 computations (84.2% saved)

prune5.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	9	78

Accuracy

97.5%

Counts

78 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.2%	(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) x.re) x.re))
	87.1%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) x.re) x.re (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
▶	82.4%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.re) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))))
▶	47.9%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	64.4%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (neg.f64 (.f64 x.im x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	88.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im))) x.im))
	47.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
▶	47.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)))
	64.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 430 to 254 computations (40.9% saved)

series31.0ms (1.1%)

Memory

-0.1MiB live, 47.5MiB allocated; 9ms collecting garbage

Counts

33 → 92

Calls

Call 1

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

Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (- (* 3 (pow x.re 2)) (pow x.im 2))))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (* 3 x.im) (* x.re x.re)) #s(hole binary64 (* 3 (* x.im (pow x.re 2)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.re) #s(hole binary64 (* 2 (* x.im (pow x.re 2)))))
#s(approx (+ (* x.re x.im) (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (* x.re x.im) #s(hole binary64 (* x.im x.re)))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
#s(approx (+ x.re x.im) #s(hole binary64 x.im))
#s(approx (+ x.re x.im) #s(hole binary64 (+ x.im x.re)))
#s(approx (- x.re x.im) #s(hole binary64 (* -1 x.im)))
#s(approx (- x.re x.im) #s(hole binary64 (- x.re x.im)))
#s(approx (* (* (* 2 x.im) x.re) x.re) #s(hole binary64 (* 2 (* x.im (pow x.re 2)))))
#s(approx (* (* 2 x.im) x.re) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (* (* (* x.re x.re) x.im) 2) #s(hole binary64 (* 2 (* x.im (pow x.re 2)))))
#s(approx (* (* x.re x.re) x.im) #s(hole binary64 (* x.im (pow x.re 2))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* (pow x.re 2) (+ x.im (* 2 x.im)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* 3 (* x.im (pow x.re 2)))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (* 3 (pow x.re 2))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* x.im (pow x.re 2))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* (pow x.re 2) (+ x.im (* 2 x.im)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* (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)))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))))
#s(approx (+ x.re x.im) #s(hole binary64 x.re))
#s(approx (+ x.re x.im) #s(hole binary64 (* x.re (+ 1 (/ x.im x.re)))))
#s(approx (- x.re x.im) #s(hole binary64 x.re))
#s(approx (- x.re x.im) #s(hole binary64 (* x.re (+ 1 (* -1 (/ x.im x.re))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* (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))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))))
#s(approx (+ x.re x.im) #s(hole binary64 (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))))
#s(approx (- x.re x.im) #s(hole binary64 (* -1 (* x.re (- (/ x.im x.re) 1)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))))
#s(approx (neg (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (* 3 x.im) #s(hole binary64 (* 3 x.im)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
#s(approx (- x.re x.im) #s(hole binary64 (+ x.re (* -1 x.im))))
#s(approx (* 2 x.im) #s(hole binary64 (* 2 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* (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))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))))
#s(approx (+ x.re x.im) #s(hole binary64 (* x.im (+ 1 (/ x.re x.im)))))
#s(approx (- x.re x.im) #s(hole binary64 (* x.im (- (/ x.re x.im) 1))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) #s(hole binary64 (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* -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)))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))))
#s(approx (+ x.re x.im) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))))
#s(approx (- x.re x.im) #s(hole binary64 (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) 3 (* x.re x.re) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.im) (* x.re x.re)) (* 3 x.im) (+ (* (- (* 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.im) (* x.im x.re)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* 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.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) x.im) 2) (* (* x.re x.re) x.im))
7.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) 3 (* x.re x.re) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.im) (* x.re x.re)) (* 3 x.im) (+ (* (- (* 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.im) (* x.im x.re)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* 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.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) x.im) 2) (* (* x.re x.re) x.im))
3.0ms	x.re	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) 3 (* x.re x.re) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.im) (* x.re x.re)) (* 3 x.im) (+ (* (- (* 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.im) (* x.im x.re)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* 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.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) x.im) 2) (* (* x.re x.re) x.im))
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)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) 3 (* x.re x.re) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.im) (* x.re x.re)) (* 3 x.im) (+ (* (- (* 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.im) (* x.im x.re)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* 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.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) x.im) 2) (* (* x.re x.re) x.im))
3.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) 3 (* x.re x.re) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.im) (* x.re x.re)) (* 3 x.im) (+ (* (- (* 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.im) (* x.im x.re)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* 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.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) x.im) 2) (* (* x.re x.re) x.im))

rewrite208.0ms (7.6%)

Memory

-0.3MiB live, 230.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	2240
0	384	2041
1	1954	2004
0	8481	1973

Stop Event

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

Counts

125 → 436

Calls

Call 1

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

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

eval63.0ms (2.3%)

Memory: 11.2MiB live, 56.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 14 057 to 1 573 computations (88.8% saved)

prune12.0ms (0.4%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	424	7	431
Fresh	2	2	4
Picked	5	0	5
Done	0	0	0
Total	431	9	440

Accuracy

100.0%

Counts

440 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (.f64 (+.f64 x.re x.im) (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.re x.re (fma.f64 x.im x.im (.f64 x.im x.re))))) x.im (.f64 (.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re))
	65.7%	(fma.f64 #s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.im) #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) x.re)) x.re) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im (.f64 (.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re))
▶	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 x.re (.f64 x.im x.re) (.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) x.re) x.re)))
▶	94.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
▶	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
	47.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
	88.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (neg (* x.im x.im))) (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) x.im))
▶	63.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (neg (* x.im x.im))) (*.f64 (neg.f64 x.im) x.im)) x.im))
▶	64.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 572 to 330 computations (42.3% saved)

series58.0ms (2.1%)

Memory

-35.5MiB live, 20.6MiB allocated; 7ms collecting garbage

Counts

26 → 50

Calls

Call 1

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

Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))))
#s(approx (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))))
#s(approx (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))))
#s(approx (* 3 x.re) #s(hole binary64 (* 3 x.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (- (* 3 (pow x.re 2)) (pow x.im 2))))
#s(approx (* (* (* 3 x.im) x.re) x.re) #s(hole binary64 (* 3 (* x.im (pow x.re 2)))))
#s(approx (* (* 3 x.im) x.re) #s(hole binary64 (* 3 (* x.im x.re))))
#s(approx (+ (* x.re (* x.im x.re)) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* (pow x.re 2) (+ x.im (* 2 x.im)))))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx (* (* (* 2 x.im) x.re) x.re) #s(hole binary64 (* 2 (* x.im (pow x.re 2)))))
#s(approx (* (* 2 x.im) x.re) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* (pow x.re 2) (+ x.im (* 2 x.im)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))))
#s(approx (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) #s(hole binary64 (* 3 (* x.im (pow x.re 2)))))
#s(approx (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) #s(hole binary64 (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))))
#s(approx (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) #s(hole binary64 (* 3 (pow x.re 2))))
#s(approx (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) #s(hole binary64 (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* 3 (* x.im (pow x.re 2)))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (* 3 (pow x.re 2))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))))
#s(approx (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) #s(hole binary64 (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))))
#s(approx (* (neg x.im) x.im) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (neg x.im) #s(hole binary64 (* -1 x.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))))
#s(approx (* 3 x.im) #s(hole binary64 (* 3 x.im)))
#s(approx (+ (* x.re (* x.im x.re)) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))))
#s(approx (* 2 x.im) #s(hole binary64 (* 2 x.im)))
#s(approx (neg (pow x.im 3)) #s(hole binary64 (* -1 (pow x.im 3))))
#s(approx (pow x.im 3) #s(hole binary64 (pow x.im 3)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))))
#s(approx (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) #s(hole binary64 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))))
#s(approx (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))))
#s(approx (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) #s(hole binary64 (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(hole binary64 (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))))
#s(approx (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) #s(hole binary64 (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))))
#s(approx (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) #s(hole binary64 (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))))
#s(approx (+ (* x.re (* x.im x.re)) (* (* (* 2 x.im) x.re) x.re)) #s(hole binary64 (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) 3 x.re (* (neg x.im) x.im) (neg x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* 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.re)) (* (* (* 2 x.im) x.re) x.re)) (* x.im x.re) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))
3.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) 3 x.re (* (neg x.im) x.im) (neg x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* 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.re)) (* (* (* 2 x.im) x.re) x.re)) (* x.im x.re) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))
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)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) 3 x.re (* (neg x.im) x.im) (neg x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* 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.re)) (* (* (* 2 x.im) x.re) x.re)) (* x.im x.re) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))
3.0ms	x.re	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) 3 x.re (* (neg x.im) x.im) (neg x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* 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.re)) (* (* (* 2 x.im) x.re) x.re)) (* x.im x.re) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))
2.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) 3 x.re (* (neg x.im) x.im) (neg x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* 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.re)) (* (* (* 2 x.im) x.re) x.re)) (* x.im x.re) (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))

rewrite55.0ms (2%)

Memory

1.9MiB live, 47.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1323
0	191	1209
0	756	1187

Stop Event

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

Counts

76 → 167

Calls

Call 1

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

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

eval15.0ms (0.5%)

Memory: 26.8MiB live, 26.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 384 to 574 computations (89.3% saved)

prune16.0ms (0.6%)

Memory

-23.6MiB live, 20.5MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	150	3	153
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	154	8	162

Accuracy

100.0%

Counts

162 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.7%	(fma.f64 #s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.im) #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) x.re)) x.re) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im (.f64 (.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re))
▶	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 x.re (.f64 x.im x.re) (.f64 (*.f64 (+.f64 x.im x.im) x.re) x.re)))
▶	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
▶	47.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
▶	88.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (neg (* x.im x.im))) (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) x.im))
✓	63.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (neg (* x.im x.im))) (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	64.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 416 to 239 computations (42.5% saved)

series25.0ms (0.9%)

Memory

42.4MiB live, 42.4MiB allocated; 0ms collecting garbage

Counts

38 → 88

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (- (* (* x.re x.re) 3) (* x.im x.im)) (* (* x.re x.re) 3) (* x.re x.re) x.re 3 (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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.re)) (* (* (+ x.im x.im) x.re) x.re)) (* (* (+ x.im x.im) x.re) x.re) (* (+ x.im x.im) x.re) (+ x.im x.im) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (* (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (* x.re x.re)) (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) (* 0 x.im) 0 -1 (/ (* x.im x.im) x.re) 1 (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2)
4.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (- (* (* x.re x.re) 3) (* x.im x.im)) (* (* x.re x.re) 3) (* x.re x.re) x.re 3 (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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.re)) (* (* (+ x.im x.im) x.re) x.re)) (* (* (+ x.im x.im) x.re) x.re) (* (+ x.im x.im) x.re) (+ x.im x.im) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (* (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (* x.re x.re)) (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) (* 0 x.im) 0 -1 (/ (* x.im x.im) x.re) 1 (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2)
4.0ms	x.re	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (- (* (* x.re x.re) 3) (* x.im x.im)) (* (* x.re x.re) 3) (* x.re x.re) x.re 3 (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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.re)) (* (* (+ x.im x.im) x.re) x.re)) (* (* (+ x.im x.im) x.re) x.re) (* (+ x.im x.im) x.re) (+ x.im x.im) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (* (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (* x.re x.re)) (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) (* 0 x.im) 0 -1 (/ (* x.im x.im) x.re) 1 (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2)
4.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (- (* (* x.re x.re) 3) (* x.im x.im)) (* (* x.re x.re) 3) (* x.re x.re) x.re 3 (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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.re)) (* (* (+ x.im x.im) x.re) x.re)) (* (* (+ x.im x.im) x.re) x.re) (* (+ x.im x.im) x.re) (+ x.im x.im) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (* (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (* x.re x.re)) (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) (* 0 x.im) 0 -1 (/ (* x.im x.im) x.re) 1 (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2)
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)) (* (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) x.im) (+ (* 3 (* x.re x.re)) (neg (* x.im x.im))) (- (* (* x.re x.re) 3) (* x.im x.im)) (* (* x.re x.re) 3) (* x.re x.re) x.re 3 (* x.im x.im) x.im (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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.re)) (* (* (+ x.im x.im) x.re) x.re)) (* (* (+ x.im x.im) x.re) x.re) (* (+ x.im x.im) x.re) (+ x.im x.im) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.im) (* (* (* 2 x.im) x.re) x.re)) (* (+ x.re x.im) (- x.re x.im)) (* (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (* x.re x.re)) (+ (* (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) -1) 1) (/ (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) x.re) (+ (* (* 0 x.im) -1) (/ (* x.im x.im) x.re)) (* 0 x.im) 0 -1 (/ (* x.im x.im) x.re) 1 (* (* (* 2 x.im) x.re) x.re) (* (* 2 x.im) x.re) (* 2 x.im) 2)

rewrite193.0ms (7%)

Memory

-2.0MiB live, 182.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	2508
0	379	2225
1	1992	2180
0	8458	2108

Stop Event

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

Counts

126 → 425

Calls

Call 1

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

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

eval55.0ms (2%)

Memory: -6.9MiB live, 93.3MiB allocated; 30ms collecting garbage
Compiler: Compiled 17 188 to 2 000 computations (88.4% saved)

prune16.0ms (0.6%)

Memory

-13.3MiB live, 32.9MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	392	2	394
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	394	8	402

Accuracy

100.0%

Counts

402 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.5%	(fma.f64 #s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (fma.f64 (/.f64 #s(approx (+ ( (* 0 x.im) -1) (/ (* x.im x.im) x.re)) (.f64 x.im (/.f64 x.im x.re))) x.re) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im (.f64 (.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re))
✓	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
✓	47.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	88.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (neg (* x.im x.im))) (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) x.im))
✓	63.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (neg (* x.im x.im))) (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	64.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 879 to 274 computations (68.8% saved)

regimes22.0ms (0.8%)

Memory

-3.6MiB live, 42.1MiB allocated; 4ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	(+.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))
6.0ms	x.im
6.0ms	x.re

Results

Accuracy	Segments	Branch
94.1%	1	`(+.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))`
96.5%	2	`x.re`
96.7%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

x.im

Results

Accuracy	Segments	Branch
96.7%	2	`x.im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.4%)

Memory

-18.0MiB live, 28.1MiB allocated; 3ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms	(+.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))
3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
97.1%	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))`
94.0%	2	`x.re`
96.7%	3	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	x.im
2.0ms	(+.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))

Results

Accuracy	Segments	Branch
80.2%	2	`x.im`
96.6%	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))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.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))

Results

Accuracy	Segments	Branch
96.6%	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))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.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))

Results

Accuracy	Segments	Branch
96.6%	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))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

1.0ms	x.re
1.0ms	(+.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))

Results

Accuracy	Segments	Branch
77.5%	2	`x.re`
93.7%	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))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes1.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

(+.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))

Results

Accuracy	Segments	Branch
93.7%	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))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.9%	1	`x.re`
63.9%	1	`x.im`
63.9%	1	`(+.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 15 computations (28.6% saved)

bsearch17.0ms (0.6%)

Memory

-29.4MiB live, 20.5MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.971545365662706e-122	5.446173143342701e-119

Samples

11.0ms

128×

valid

Compiler

Compiled 526 to 312 computations (40.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 3.0ms (78.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch4.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.971545365662706e-122	5.446173143342701e-119

Samples

2.0ms

32×

valid

Compiler

Compiled 486 to 304 computations (37.4% saved)

Precisions

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

ival-mult!: 1.0ms (104.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	9.934761177840002e-114	1.2199183788110989e-113

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.3632857359642488e-299	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.3632857359642488e-299	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.3632857359642488e-299	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.3632857359642488e-299	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.3632857359642488e-299	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

derivations172.0ms (6.3%)

Memory

8.7MiB live, 148.1MiB allocated; 8ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 041 to 81 computations (92.2% saved)

preprocess186.0ms (6.8%)

Memory

-8.9MiB live, 272.4MiB allocated; 36ms collecting garbage

Remove

(negabs x.im)

(abs x.re)

Compiler

Compiled 8 326 to 2 038 computations (75.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (44.3%)

explain139.0ms (5.1%)

preprocess39.0ms (1.4%)

series14.0ms (0.5%)

rewrite67.0ms (2.4%)

eval78.0ms (2.8%)

prune5.0ms (0.2%)

series31.0ms (1.1%)

rewrite208.0ms (7.6%)

eval63.0ms (2.3%)

prune12.0ms (0.4%)

series58.0ms (2.1%)

rewrite55.0ms (2%)

eval15.0ms (0.5%)

prune16.0ms (0.6%)

series25.0ms (0.9%)

rewrite193.0ms (7%)

eval55.0ms (2%)

prune16.0ms (0.6%)

regimes22.0ms (0.8%)

regimes4.0ms (0.1%)

regimes12.0ms (0.4%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

regimes1.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch17.0ms (0.6%)

bsearch4.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations172.0ms (6.3%)

preprocess186.0ms (6.8%)

end0.0ms (0%)

Profiling