Metrics for math.cube on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.3s (39.8%)

Memory

24.5MiB live, 1 447.8MiB allocated; 248ms collecting garbage

Samples

904.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 551.0ms

ival-mult: 393.0ms (71.3% of total)

ival-sub: 110.0ms (20% of total)

ival-add: 43.0ms (7.8% of total)

adjust: 3.0ms (0.5% of total)

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

Bogosity

explain163.0ms (5.1%)

Memory

-17.2MiB live, 127.8MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
17	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
16	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	25	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	121
↳	`(*.f64 x.re x.re)`	overflow	62
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	116
↳	`(*.f64 x.im x.im)`	overflow	70
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	71
↳	`(*.f64 x.im x.re)`	overflow	37
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	37
↳	`(*.f64 x.re x.im)`	overflow	37
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	17	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	16	0
↳	`(*.f64 x.re x.re)`	overflow	62
↳	`(*.f64 x.im x.im)`	overflow	70

Confusion

	Predicted +	Predicted -
+	48	0
-	0	208

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	208
1	38
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

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

ival-mult: 19.0ms (73.1% of total)

ival-sub: 4.0ms (15.4% of total)

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

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

adjust: 0.0ms (0% of total)

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

preprocess265.0ms (8.3%)

Memory

17.5MiB live, 335.1MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	118
1	121	104
2	418	102
3	1190	67
4	4057	66
0	11	19
0	20	19
1	43	17
2	140	17
3	482	14
4	1384	11
5	4695	11
0	8744	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 19 to 11 computations (42.1% saved)

series15.0ms (0.5%)

Memory

22.5MiB live, 22.5MiB 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.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)

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

Calls

6 calls:

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

rewrite118.0ms (3.7%)

Memory

-28.7MiB live, 77.8MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	660
0	117	603
0	484	597

Stop Event

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

Counts

40 → 75

Calls

Call 1

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

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

eval8.0ms (0.3%)

Memory: 17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 108 to 302 computations (85.7% saved)

prune6.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	79	8	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	8	88

Accuracy

94.7%

Counts

88 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.9%	(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
	81.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))))
▶	62.5%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	49.6%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (neg.f64 (.f64 x.im x.im))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	57.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	89.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
	49.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
▶	49.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))

Compiler

Compiled 406 to 236 computations (41.9% saved)

series25.0ms (0.8%)

Memory

-1.5MiB live, 45.3MiB allocated; 3ms collecting garbage

Counts

32 → 101

Calls

Call 1

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

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* x.re (+ (* -1 (+ (* 2 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* -1 (+ (* 2 (pow x.im 2)) (pow x.im 2)))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (- (pow x.re 2) (+ (* 2 (pow x.im 2)) (pow x.im 2)))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (* x.re -3) (* x.im x.im)) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* x.re -3) #s(hole binary64 (* -3 x.re)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.im 2) x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* x.re (+ (* -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))))
#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 x.im) (* x.im x.re)) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#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.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 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 (* (neg (* 2 (* x.im x.re))) x.im) #s(hole binary64 (* -2 (* (pow x.im 2) x.re))))
#s(approx (neg (* 2 (* x.im x.re))) #s(hole binary64 (* -2 (* x.im x.re))))
#s(approx (* 2 (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (pow x.re 3) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* x.re x.re) (neg (* 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.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (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.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))))
#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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))))
#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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (+ (* -3 (pow x.im 2)) (pow x.re 2))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (+ (* -1 (pow x.im 2)) (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 (* (* x.im x.im) 2) #s(hole binary64 (* 2 (pow x.im 2))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))))
#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.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))))
#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 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* -3 (pow x.im 2))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))))
#s(approx (+ (* x.re x.re) (neg (* 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.re) #s(hole binary64 (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#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.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))))
#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.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))))))
#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
5.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* 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.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)
4.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* 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.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)
4.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* 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.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)
3.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* 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.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)
3.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* 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.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)

rewrite184.0ms (5.8%)

Memory

-1.8MiB live, 226.9MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	2501
0	396	2160
1	2040	2123
0	9346	2075

Stop Event

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

Counts

133 → 453

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
(.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re)
(-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))
(fma.f64 x.re x.re (neg.f64 (*.f64 x.im x.im)))
x.re
(neg.f64 (*.f64 x.im x.im))
(*.f64 x.im x.im)
x.im
(.f64 (.f64 x.im x.im) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
(.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 x.re #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im)
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* x.re (+ (* -1 (+ (* 2 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* -1 (+ (* 2 (pow x.im 2)) (pow x.im 2)))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (- (pow x.re 2) (+ (* 2 (pow x.im 2)) (pow x.im 2)))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (* x.re -3) (* x.im x.im)) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* x.re -3) #s(hole binary64 (* -3 x.re)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.im 2) x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* x.re (+ (* -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))))
#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 x.im) (* x.im x.re)) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#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.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 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 (* (neg (* 2 (* x.im x.re))) x.im) #s(hole binary64 (* -2 (* (pow x.im 2) x.re))))
#s(approx (neg (* 2 (* x.im x.re))) #s(hole binary64 (* -2 (* x.im x.re))))
#s(approx (* 2 (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (pow x.re 3) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* x.re x.re) (neg (* 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.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (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.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))))
#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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))))
#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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (+ (* -3 (pow x.im 2)) (pow x.re 2))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (+ (* -1 (pow x.im 2)) (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 (* (* x.im x.im) 2) #s(hole binary64 (* 2 (pow x.im 2))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))))
#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.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))))
#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 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* -3 (pow x.im 2))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))))
#s(approx (+ (* x.re x.re) (neg (* 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.re) #s(hole binary64 (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#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.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))))
#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.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))))))
#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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.im)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 #s(literal -2 binary64) (*.f64 x.im x.im))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 x.im) x.im) (-.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (fabs.f64 x.re) (fabs.f64 x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (neg.f64 x.re) (neg.f64 x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (neg.f64 x.im) x.im (-.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64))))
(fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64)))
(fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.im)))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64)))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (.f64 #s(literal -2 binary64) (.f64 x.im x.im)))
(fma.f64 (.f64 x.im x.im) #s(literal -1 binary64) (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
(fma.f64 #s(literal -1 binary64) (.f64 x.im x.im) (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
(fma.f64 x.im (neg.f64 x.im) (-.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64))))
(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
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(+.f64 x.re x.im)
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re (fma.f64 x.im x.im (*.f64 x.im x.re)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (neg.f64 (+.f64 x.im x.re)))
(/.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))))
(/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (+.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.re x.re (fma.f64 x.im x.im (.f64 x.im x.re)))) (/.f64 (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)))))
(-.f64 (/.f64 (.f64 x.re x.re) (+.f64 x.im x.re)) (/.f64 (.f64 x.im x.im) (+.f64 x.im x.re)))
(-.f64 x.re x.im)
(+.f64 (/.f64 (.f64 (neg.f64 x.im) x.im) (+.f64 x.im x.re)) (/.f64 (.f64 x.re x.re) (+.f64 x.im x.re)))
(+.f64 (/.f64 (.f64 x.re x.re) (+.f64 x.im x.re)) (/.f64 (.f64 (neg.f64 x.im) x.im) (+.f64 x.im x.re)))
(.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im)
(.f64 x.im (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im 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 #s(literal 2 binary64) (neg.f64 (.f64 x.im x.re)))
(.f64 (.f64 x.im x.re) #s(literal -2 binary64))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 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 (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))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(.f64 (.f64 x.re x.re) x.re)
(.f64 x.re (.f64 x.re x.re))
(pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 3/2 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x.re) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x.re) #s(literal 3 binary64))))
#s(literal 3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (neg.f64 x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 x.re x.re (neg.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) x.re))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (neg.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.im))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (-.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
#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 x.re x.re)
#s(approx (* (* x.re -3) (* x.im x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* x.re -3) (*.f64 #s(literal -3 binary64) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.im) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)))
#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 (* x.re x.re) (*.f64 x.re x.re))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)))
#s(approx (* 2 (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (.f64 #s(literal 0 binary64) x.im) x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re)) x.re))
#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 (* (neg (* 2 (* x.im x.re))) x.im) (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.im)) x.re))
#s(approx (neg (* 2 (* x.im x.re))) (.f64 #s(literal -2 binary64) (.f64 x.im x.re)))
#s(approx (* 2 (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re)))
#s(approx (pow x.re 3) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.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 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#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 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 x.im x.re) #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 x.im x.re)))) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.im x.re))) #s(literal 1 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.im (/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) x.re)) x.re)) #s(literal 1 binary64))))
#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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
#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 (* (* x.im x.im) 2) (.f64 (.f64 x.im x.im) #s(literal 2 binary64)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)))
#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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)) x.im (pow.f64 x.re #s(literal 3 binary64))))
#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 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 #s(literal 2 binary64) x.re)) (.f64 x.im x.im)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im))) (*.f64 x.im x.im)))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.im x.im)))
#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.re) (* x.im x.im)) x.re) (.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (neg.f64 x.re)) (*.f64 x.im x.im)))
#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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im)) (.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (fma.f64 x.re (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)))) (.f64 x.im x.im)))
#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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im))) (.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (/.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) x.im)) x.im))) (*.f64 x.im x.im)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (-.f64 (neg.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 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.re (neg.f64 (/.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))))

eval52.0ms (1.6%)

Memory: -12.5MiB live, 87.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 16 297 to 1 735 computations (89.4% saved)

prune21.0ms (0.6%)

Memory

-1.9MiB live, 44.4MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	447	7	454
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	453	9	462

Accuracy

100.0%

Counts

462 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.1%	(fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
	90.0%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im))
✓	57.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	87.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
	89.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
▶	49.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
▶	55.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
▶	57.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	49.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))

Compiler

Compiled 404 to 238 computations (41.1% saved)

series25.0ms (0.8%)

Memory

-4.8MiB live, 41.4MiB allocated; 4ms collecting garbage

Counts

25 → 70

Calls

Call 1

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

Outputs
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))))
#s(approx (+ x.im x.re) #s(hole binary64 x.im))
#s(approx (+ x.im x.re) #s(hole binary64 (+ x.im x.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (- x.re x.im) x.re) #s(hole binary64 (* -1 (* x.im x.re))))
#s(approx (* (- x.re x.im) x.re) #s(hole binary64 (* x.re (+ x.re (* -1 x.im)))))
#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.im) #s(hole binary64 (* -2 (* (pow x.im 2) x.re))))
#s(approx (* -2 (* x.im x.re)) #s(hole binary64 (* -2 (* 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (* x.re x.re) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx (* (* (* -3 x.re) x.im) x.im) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (* -3 x.re) x.im) #s(hole binary64 (* -3 (* x.im x.re))))
#s(approx (* -3 x.re) #s(hole binary64 (* -3 x.re)))
#s(approx (* (* (* x.im x.im) x.re) -3) #s(hole binary64 (* -3 (* (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 (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #s(hole binary64 (* -3 (pow x.im 2))))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #s(hole binary64 (+ (* -3 (pow x.im 2)) (pow x.re 2))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))))
#s(approx (+ x.im x.re) #s(hole binary64 x.re))
#s(approx (+ x.im x.re) #s(hole binary64 (* x.re (+ 1 (/ x.im x.re)))))
#s(approx (* (- x.re x.im) x.re) #s(hole binary64 (pow x.re 2)))
#s(approx (* (- x.re x.im) x.re) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))))
#s(approx (+ x.im x.re) #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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (* (- x.re x.im) x.re) #s(hole binary64 (+ (* -1 (* x.im x.re)) (pow x.re 2))))
#s(approx (- x.re x.im) #s(hole binary64 (+ x.re (* -1 x.im))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))))
#s(approx (+ x.im x.re) #s(hole binary64 (* x.im (+ 1 (/ x.re x.im)))))
#s(approx (* (- x.re x.im) x.re) #s(hole binary64 (* x.im (+ (* -1 x.re) (/ (pow x.re 2) 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))))))
#s(approx (+ x.im x.re) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))))
#s(approx (* (- x.re x.im) x.re) #s(hole binary64 (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))))
#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
6.0ms	x.im	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (+ x.im x.re) x.im x.re (* (- x.re x.im) x.re) (- x.re x.im) (* (* -2 (* x.im x.re)) x.im) (* -2 (* x.im x.re)) -2 (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.re) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im 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.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)))
5.0ms	x.re	@	0	((+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (+ x.im x.re) x.im x.re (* (- x.re x.im) x.re) (- x.re x.im) (* (* -2 (* x.im x.re)) x.im) (* -2 (* x.im x.re)) -2 (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.re) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im 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.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)))
4.0ms	x.re	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (+ x.im x.re) x.im x.re (* (- x.re x.im) x.re) (- x.re x.im) (* (* -2 (* x.im x.re)) x.im) (* -2 (* x.im x.re)) -2 (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.re) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im 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.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)))
3.0ms	x.re	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (+ x.im x.re) x.im x.re (* (- x.re x.im) x.re) (- x.re x.im) (* (* -2 (* x.im x.re)) x.im) (* -2 (* x.im x.re)) -2 (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.re) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im 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.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)))
3.0ms	x.im	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (+ x.im x.re) x.im x.re (* (- x.re x.im) x.re) (- x.re x.im) (* (* -2 (* x.im x.re)) x.im) (* -2 (* x.im x.re)) -2 (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.re) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im 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.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)))

rewrite203.0ms (6.4%)

Memory

31.3MiB live, 219.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	1676
0	304	1545
1	1563	1524
0	8185	1493

Stop Event

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

Counts

95 → 294

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64))) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64))) x.im) (.f64 (neg.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64))) x.im) (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) (.f64 (neg.f64 (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) x.im)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (.f64 (.f64 x.re x.im) x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (.f64 (.f64 x.re x.im) x.im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) (.f64 (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) x.im))))))
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#s(approx (+ x.im x.re) x.im)
#s(approx (+ x.im x.re) (+.f64 x.re x.im))
#s(approx x.re x.re)
#s(approx (* (- x.re x.im) x.re) (*.f64 (neg.f64 x.im) x.re))
#s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) 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.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -2 binary64)))
#s(approx (* -2 (* x.im x.re)) (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))
#s(approx (* x.im x.re) (*.f64 x.re x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
#s(approx (* (* x.re x.re) x.re) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (* x.re x.re) (*.f64 x.re x.re))
#s(approx (* (* (* -3 x.re) x.im) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (* -3 x.re) x.im) (.f64 (.f64 #s(literal -3 binary64) x.re) x.im))
#s(approx (* -3 x.re) (*.f64 #s(literal -3 binary64) x.re))
#s(approx (* (* (* -3 x.re) x.im) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (* x.im x.im) x.re) (.f64 (.f64 x.im x.im) x.re))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 x.im x.re) #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 x.im x.re)))) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ x.im x.re) x.re)
#s(approx (+ x.im x.re) (*.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re))
#s(approx (* (- x.re x.im) x.re) (*.f64 x.re x.re))
#s(approx (* (- x.re x.im) x.re) (.f64 (-.f64 #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 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (*.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) (*.f64 x.re x.re))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) (.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.im x.re))) #s(literal 1 binary64))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.im (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) x.re))) x.re)) #s(literal 1 binary64))))
#s(approx (+ x.im x.re) (*.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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx x.im x.im)
#s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.re))
#s(approx (- x.re x.im) (fma.f64 #s(literal -1 binary64) x.im x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
#s(approx (* x.im x.im) (*.f64 x.im x.im))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im)) (.f64 x.im x.im)))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (fma.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.re) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)))) (.f64 x.im x.im)))
#s(approx (+ x.im x.re) (*.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im))
#s(approx (* (- x.re x.im) x.re) (.f64 (fma.f64 #s(literal -1 binary64) x.re (/.f64 (.f64 x.re x.re) 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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 #s(literal 2 binary64) x.re)) (.f64 x.im x.im)))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im))) (*.f64 x.im x.im)))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) (.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.im x.im)))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im))) (.f64 x.im x.im)))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* -2 (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (/.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) x.im)) x.im))) (*.f64 x.im x.im)))
#s(approx (+ x.im x.re) (*.f64 (neg.f64 x.im) (-.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 1 binary64))))
#s(approx (* (- x.re x.im) x.re) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64) x.re)))
#s(approx (- x.re x.im) (*.f64 (neg.f64 x.im) (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))

eval100.0ms (3.1%)

Memory: -59.6MiB live, 66.1MiB allocated; 85ms collecting garbage
Compiler: Compiled 10 835 to 1 172 computations (89.2% saved)

prune26.0ms (0.8%)

Memory

5.0MiB live, 51.5MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	337	2	339
Fresh	1	1	2
Picked	2	3	5
Done	0	2	2
Total	340	8	348

Accuracy

100.0%

Counts

348 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	87.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
▶	89.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
✓	49.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
▶	55.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
✓	57.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	49.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
▶	55.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64)))

Compiler

Compiled 221 to 129 computations (41.6% saved)

series15.0ms (0.5%)

Memory

32.1MiB live, 32.1MiB allocated; 0ms collecting garbage

Counts

20 → 75

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.re x.im)) -3) (* x.im (* x.re x.im)) x.im (* x.re x.im) x.re -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (+ x.im x.re) (* (* x.im x.im) 2) (* x.im x.im) 2)
2.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.re x.im)) -3) (* x.im (* x.re x.im)) x.im (* x.re x.im) x.re -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (+ x.im x.re) (* (* x.im x.im) 2) (* x.im x.im) 2)
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.re x.im)) -3) (* x.im (* x.re x.im)) x.im (* x.re x.im) x.re -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (+ x.im x.re) (* (* x.im x.im) 2) (* x.im x.im) 2)
2.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.re x.im)) -3) (* x.im (* x.re x.im)) x.im (* x.re x.im) x.re -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (+ x.im x.re) (* (* x.im x.im) 2) (* x.im x.im) 2)
2.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.re x.im)) -3) (* x.im (* x.re x.im)) x.im (* x.re x.im) x.re -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (* (- x.re x.im) (+ x.im x.re)) (- x.re x.im) (+ x.im x.re) (* (* x.im x.im) 2) (* x.im x.im) 2)

rewrite192.0ms (6%)

Memory

-0.4MiB live, 232.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	1967
0	311	1813
1	1676	1790
0	9215	1746

Stop Event

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

Counts

95 → 194

Calls

Call 1

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

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
(.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
(.f64 (.f64 x.im x.re) x.im)
(.f64 x.im (.f64 x.im x.re))
x.im
(*.f64 x.im x.re)
(*.f64 x.re x.im)
x.re
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
(.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) 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))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
(.f64 (-.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re)
(.f64 x.re (-.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 x.im x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (.f64 x.im x.im)) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (neg.f64 (*.f64 x.im x.im)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64))))))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (.f64 (neg.f64 (.f64 x.im x.im)) #s(literal 2 binary64)))
(fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 (neg.f64 (.f64 x.im x.im)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (.f64 (.f64 x.im x.im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64)))))))
(-.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 (neg.f64 (*.f64 x.im x.im)) #s(literal 2 binary64)))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(/.f64 (+.f64 (pow.f64 (.f64 x.im (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 x.re (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)) (-.f64 (.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.re (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 x.re (-.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x.re x.im) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) x.im) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im)) (.f64 (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 (-.f64 x.im x.re) (fma.f64 x.re x.re (fma.f64 x.im x.im (*.f64 x.im x.re)))))
(/.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)))
(/.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 (fma.f64 x.im x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.re))) (fma.f64 x.re x.re (fma.f64 x.im x.im (*.f64 x.im x.re)))))
(/.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (.f64 (fma.f64 x.re x.re (fma.f64 x.im x.im (*.f64 x.im x.re))) (-.f64 x.im x.re)))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (.f64 (fma.f64 x.re x.re (fma.f64 x.im x.im (.f64 x.im x.re))) (fma.f64 x.im x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.re)))))
(/.f64 (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))
(/.f64 (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.re)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (fabs.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.re)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.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 (neg.f64 x.re) (neg.f64 x.re) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (-.f64 x.re x.im) x.im (*.f64 (-.f64 x.re x.im) x.re))
(fma.f64 x.im (-.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.re x.re (.f64 x.im x.im))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(+.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 x.re (-.f64 x.re x.im)))
(+.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) x.re))
(+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re (fma.f64 x.im x.im (*.f64 x.im x.re)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (neg.f64 (+.f64 x.im x.re)))
(/.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))))
(/.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (+.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.re x.re (fma.f64 x.im x.im (.f64 x.im x.re)))) (/.f64 (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)))))
(-.f64 (/.f64 (.f64 x.re x.re) (+.f64 x.im x.re)) (/.f64 (.f64 x.im x.im) (+.f64 x.im x.re)))
(-.f64 x.re x.im)
(+.f64 (/.f64 (.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re)) (/.f64 (.f64 x.re (-.f64 x.re x.im)) (+.f64 x.im x.re)))
(+.f64 (/.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (/.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))
(+.f64 (/.f64 (.f64 x.re x.re) (+.f64 x.im x.re)) (/.f64 (.f64 (neg.f64 x.im) x.im) (+.f64 x.im x.re)))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.re x.re (-.f64 (.f64 x.im x.im) (.f64 x.im x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.re)))))
(/.f64 (neg.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (neg.f64 (-.f64 x.im x.re)))
(/.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (-.f64 x.im x.re))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.im x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.re))))
(-.f64 (/.f64 (.f64 x.im x.im) (-.f64 x.im x.re)) (/.f64 (.f64 x.re x.re) (-.f64 x.im x.re)))
(+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.re)))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.im x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.re)))))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
(.f64 (.f64 x.im x.im) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x.im x.im))
(.f64 x.im (.f64 x.im #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(fma.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 (fabs.f64 x.im)) (*.f64 x.im x.im))
(fma.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 (neg.f64 x.im)) (*.f64 x.im x.im))
(fma.f64 (fabs.f64 (fabs.f64 x.im)) (fabs.f64 (fabs.f64 x.im)) (*.f64 x.im x.im))
(fma.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 x.im)) (*.f64 x.im x.im))
(fma.f64 (fabs.f64 x.im) (fabs.f64 x.im) (*.f64 x.im x.im))
(fma.f64 (neg.f64 x.im) (neg.f64 x.im) (*.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.im x.im))
(+.f64 (.f64 x.im x.im) (.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))
(/.f64 #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))))
#s(literal 2 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
#s(approx (* (* x.im (* x.re x.im)) -3) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* x.im (* x.re x.im)) (.f64 (.f64 x.im x.im) x.re))
#s(approx (* x.re x.im) (*.f64 x.im x.re))
#s(approx x.re x.re)
#s(approx (* (* x.im (* x.re x.im)) -3) (.f64 (.f64 (*.f64 x.im x.im) x.re) #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.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.im) x.re (neg.f64 (.f64 x.im x.im))) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64))) x.re))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (-.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.im) x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re (neg.f64 (.f64 x.im x.im))) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64))))
#s(approx (* (- x.re x.im) (+ x.im x.re)) (neg.f64 (*.f64 x.im x.im)))
#s(approx (* (- x.re x.im) (+ x.im x.re)) (fma.f64 (.f64 #s(literal 0 binary64) x.im) x.re (neg.f64 (.f64 x.im x.im))))
#s(approx (* (- x.re x.im) (+ x.im x.re)) (fma.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re (neg.f64 (*.f64 x.im x.im))))
#s(approx (- x.re x.im) (neg.f64 x.im))
#s(approx (- x.re x.im) (-.f64 x.re x.im))
#s(approx (+ x.im x.re) x.im)
#s(approx (+ x.im x.re) (+.f64 x.im x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (-.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 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (*.f64 x.re x.re))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (.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.im x.re)) (* (* x.im x.im) 2)) (.f64 (-.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 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x.re x.re)))
#s(approx (* (- x.re x.im) (+ x.im x.re)) (*.f64 x.re x.re))
#s(approx (* (- x.re x.im) (+ x.im x.re)) (.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.im x.re)) (.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 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re))
#s(approx (+ x.im x.re) x.re)
#s(approx (+ x.im x.re) (*.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.im x.re))) #s(literal 1 binary64))))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x.im (/.f64 (neg.f64 (.f64 x.im x.im)) x.re)) (.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 2 binary64))) x.re)) #s(literal 1 binary64))))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 0 binary64) x.im (/.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.re))) x.re) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x.re x.re)))
#s(approx (* (- x.re x.im) (+ x.im 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)))
#s(approx (- x.re x.im) (*.f64 (neg.f64 x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
#s(approx (+ x.im x.re) (*.f64 (neg.f64 x.re) (-.f64 (/.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx x.im x.im)
#s(approx (* -3 x.im) (*.f64 #s(literal -3 binary64) x.im))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.im (.f64 x.re x.re)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (fma.f64 (+.f64 (fma.f64 #s(literal -3 binary64) x.im (neg.f64 x.re)) x.re) x.im (*.f64 x.re x.re)))
#s(approx (* (- x.re x.im) (+ x.im x.re)) (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.im (.f64 x.re x.re)))
#s(approx (* (- x.re x.im) (+ x.im x.re)) (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 (* (* x.im x.im) 2) (.f64 (.f64 x.im x.im) #s(literal 2 binary64)))
#s(approx (* x.im x.im) (*.f64 x.im x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 #s(literal 2 binary64) x.re)) (.f64 x.im x.im)))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im)) (.f64 x.im x.im)))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (fma.f64 x.re (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)))) (.f64 x.im x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 x.im x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (.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 3 binary64)) (.f64 x.im x.im)))
#s(approx (* (- x.re x.im) (+ x.im x.re)) (.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.im x.re)) (.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.im x.re) (*.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im))) (.f64 x.im x.im)))
#s(approx (* (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (/.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) x.im)) x.im))) (*.f64 x.im x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im))) #s(literal 3 binary64)) (*.f64 x.im x.im)))
#s(approx (- (* (- x.re x.im) (+ x.im x.re)) (* (* x.im x.im) 2)) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.re (neg.f64 (/.f64 (.f64 x.re x.re) x.im))) x.im)) #s(literal 3 binary64)) (*.f64 x.im x.im)))
#s(approx (* (- x.re x.im) (+ x.im x.re)) (.f64 (-.f64 (neg.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.im x.re)) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.re (neg.f64 (/.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 #s(literal 1 binary64) (/.f64 x.re x.im))))
#s(approx (+ x.im x.re) (*.f64 (neg.f64 x.im) (-.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 1 binary64))))

eval24.0ms (0.8%)

Memory: -16.2MiB live, 39.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 691 to 994 computations (88.6% saved)

prune25.0ms (0.8%)

Memory

2.7MiB live, 49.4MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	208	8	216

Accuracy

100.0%

Counts

216 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	87.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
✓	89.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
✓	49.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
✓	55.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
✓	57.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	49.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
✓	55.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64)))

Compiler

Compiled 674 to 214 computations (68.2% saved)

regimes23.0ms (0.7%)

Memory

-9.8MiB live, 34.5MiB allocated; 9ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms	x.re
5.0ms	x.im
4.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
99.1%	3	`x.re`
95.9%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes10.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	3	`x.re`
97.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
98.7%	3	`x.re`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.2%)

Memory

-35.5MiB live, 12.0MiB allocated; 2ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	x.re
2.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
97.1%	3	`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

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))

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

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

Results

Accuracy	Segments	Branch
57.1%	1	`x.re`
57.1%	1	`x.im`
57.1%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6228238646032214e-90	2.976375749417081e-85

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch9.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
2.0ms	4.4968395235932705e+232	6.920576875792851e+233
5.0ms	6.05238869157221e-89	1.7940008445024493e-88

Samples

5.0ms

64×

valid

Compiler

Compiled 235 to 148 computations (37% saved)

Precisions

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

ival-mult: 2.0ms (64.2% of total)

ival-sub: 1.0ms (32.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch19.0ms (0.6%)

Memory

-29.8MiB live, 18.6MiB allocated; 13ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.4968395235932705e+232	6.920576875792851e+233
18.0ms	3.334069982146567e-101	1.2032930756301195e-100

Samples

15.0ms

80×

valid

Compiler

Compiled 392 to 242 computations (38.3% saved)

Precisions

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

ival-mult: 3.0ms (76% of total)

ival-sub: 1.0ms (25.3% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.96118e-317	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.96118e-317	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.96118e-317	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify54.0ms (1.7%)

Memory

7.5MiB live, 54.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	487
1	106	461
2	229	461
3	594	422
4	1565	409
5	5943	409

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 5733746539975179/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im)) (if (<=.f64 x.re #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))))
(if (<=.f64 x.re #s(literal 5516280867495227/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im)) (if (<=.f64 x.re #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im (.f64 x.re x.im)) #s(literal -3 binary64))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 5733746539975179/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im)) (if (<=.f64 x.re #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))))
(if (<=.f64 x.re #s(literal 5516280867495227/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im)) (if (<=.f64 x.re #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im (.f64 x.re x.im)) #s(literal -3 binary64))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))

derivations212.0ms (6.7%)

Memory

-12.7MiB live, 175.9MiB allocated; 28ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 487 to 67 computations (86.2% saved)

preprocess101.0ms (3.2%)

Memory: 21.8MiB live, 160.4MiB allocated; 23ms collecting garbage
Remove: (abs x.im)
Compiler: Compiled 1 550 to 388 computations (75% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (39.8%)

explain163.0ms (5.1%)

preprocess265.0ms (8.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series15.0ms (0.5%)

rewrite118.0ms (3.7%)

eval8.0ms (0.3%)

prune6.0ms (0.2%)

series25.0ms (0.8%)

rewrite184.0ms (5.8%)

eval52.0ms (1.6%)

prune21.0ms (0.6%)

series25.0ms (0.8%)

rewrite203.0ms (6.4%)

eval100.0ms (3.1%)

prune26.0ms (0.8%)

series15.0ms (0.5%)

rewrite192.0ms (6%)

eval24.0ms (0.8%)

prune25.0ms (0.8%)

regimes23.0ms (0.7%)

regimes10.0ms (0.3%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch9.0ms (0.3%)

bsearch19.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify54.0ms (1.7%)

derivations212.0ms (6.7%)

preprocess101.0ms (3.2%)

end0.0ms (0%)

Profiling