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

0.5MiB live, 0.5MiB 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)

sample994.0ms (25.4%)

Memory

53.0MiB live, 1 183.0MiB allocated; 383ms collecting garbage

Samples

643.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 412.0ms

ival-mult!: 279.0ms (67.7% of total)

ival-sub!: 115.0ms (27.9% of total)

ival-add!: 16.0ms (3.9% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess70.0ms (1.8%)

Memory

-21.7MiB live, 24.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	118
1	158	102
2	574	102
3	1658	67
4	5201	66

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.7%	(-.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))

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 22 to 22 computations (0% saved)

series14.0ms (0.4%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Counts

11 → 26

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.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) (+ 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) (+ 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))

rewrite243.0ms (6.2%)

Memory

-5.8MiB live, 220.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	629
0	109	555
1	570	543
2	4037	543
0	8071	528
1	21048	528

Stop Event

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

Counts

37 → 371

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

eval34.0ms (0.9%)

Memory: 24.6MiB live, 70.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 131 to 1 098 computations (64.9% saved)

prune16.0ms (0.4%)

Memory

-28.1MiB live, 26.8MiB allocated; 7ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	344	13	357
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	345	13	358

Accuracy

99.9%

Counts

358 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(fma.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 x.re (.f64 x.im x.im))) x.re) (.f64 x.im x.im) (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im))
▶	90.8%	(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))
	71.2%	(fma.f64 (.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 x.re (.f64 x.im x.im))) x.re) x.im) x.im (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im))
	16.7%	(-.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x.re x.re) x.re) x.re) (.f64 x.re x.re)) (.f64 (.f64 (.f64 (.f64 x.im x.im) x.im) x.im) (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.re x.re) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	10.1%	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.re) x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (fma.f64 (.f64 (.f64 (.f64 x.re x.re) x.re) x.re) (.f64 x.re x.re) (-.f64 (.f64 (.f64 (.f64 (.f64 x.im x.im) x.im) x.im) (.f64 x.re x.re)) (.f64 (.f64 (.f64 x.re x.re) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	83.7%	(-.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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))
	49.3%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	54.8%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	82.5%	#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) (.f64 (.f64 x.re x.re) x.re)))
	89.6%	#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 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re))
▶	61.4%	#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 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) #s(literal -1 binary64)) (.f64 (.f64 x.re x.re) x.re)))
	49.3%	#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)))
▶	60.9%	#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))

Compiler

Compiled 448 to 422 computations (5.8% saved)

series27.0ms (0.7%)

Memory

38.7MiB live, 38.7MiB allocated; 0ms collecting garbage

Counts

33 → 74

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

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 (+ (* (* (* x.im x.im) x.re) -3) (* (* x.re x.re) x.re)) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (+ (* (* (* x.im x.im) x.re) -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) x.re) #s(hole binary64 (* (pow x.im 2) x.re)))
#s(approx (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) #s(hole binary64 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
#s(approx (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) #s(hole binary64 (/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))))
#s(approx (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.im 2) x.re))))
#s(approx (* (- (/ 1 (/ 1 (* 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 (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (/ 1 (* x.re x.re)) #s(hole binary64 (/ 1 (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.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 (+ 1 (/ x.im x.re)))))
#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 (+ 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) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (+ (* (* (* x.im x.im) x.re) -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 (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) #s(hole binary64 1))
#s(approx (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) #s(hole binary64 (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))))
#s(approx (* (- (/ 1 (/ 1 (* 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 (- (/ 1 (/ 1 (* 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.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) x.re) -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 (* (- (/ 1 (/ 1 (* 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.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.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) x.re) -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.im) #s(hole binary64 (pow x.im 2)))
#s(approx (* -3 (* x.im x.im)) #s(hole binary64 (* -3 (pow x.im 2))))
#s(approx (* (- (/ 1 (/ 1 (* 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 (- (/ 1 (/ 1 (* 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.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) x.re) -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 (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) #s(hole binary64 (* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))))
#s(approx (* (- (/ 1 (/ 1 (* 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 (- (/ 1 (/ 1 (* 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.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)) (+ (* (* (* x.im x.im) x.re) -3) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) -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.im)) (* x.re x.re)) -1) (* (* x.re x.re) x.re)) (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) (/ (* -3 (* x.im x.im)) (* x.re x.re)) (* -3 (* x.im x.im)) -1 (- (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* 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))
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)) (+ (* (* (* x.im x.im) x.re) -3) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) -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.im)) (* x.re x.re)) -1) (* (* x.re x.re) x.re)) (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) (/ (* -3 (* x.im x.im)) (* x.re x.re)) (* -3 (* x.im x.im)) -1 (- (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* 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))
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)) (+ (* (* (* x.im x.im) x.re) -3) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) -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.im)) (* x.re x.re)) -1) (* (* x.re x.re) x.re)) (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) (/ (* -3 (* x.im x.im)) (* x.re x.re)) (* -3 (* x.im x.im)) -1 (- (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* 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))
4.0ms	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)) (+ (* (* (* x.im x.im) x.re) -3) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) -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.im)) (* x.re x.re)) -1) (* (* x.re x.re) x.re)) (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) (/ (* -3 (* x.im x.im)) (* x.re x.re)) (* -3 (* x.im x.im)) -1 (- (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* 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))
4.0ms	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)) (+ (* (* (* x.im x.im) x.re) -3) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) -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.im)) (* x.re x.re)) -1) (* (* x.re x.re) x.re)) (- (/ (* -3 (* x.im x.im)) (* x.re x.re)) -1) (/ (* -3 (* x.im x.im)) (* x.re x.re)) (* -3 (* x.im x.im)) -1 (- (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) x.re) (- (/ 1 (/ 1 (* x.re x.re))) (* x.im x.im)) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* 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))

rewrite345.0ms (8.8%)

Memory

10.8MiB live, 189.4MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	1980
0	354	1715
1	2087	1662
0	8494	1630
1	23844	1630

Stop Event

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

Counts

107 → 515

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

eval411.0ms (10.5%)

Memory: -75.8MiB live, 167.9MiB allocated; 677ms collecting garbage
Compiler: Compiled 6 146 to 2 342 computations (61.9% saved)

prune18.0ms (0.5%)

Memory

-5.2MiB live, 39.2MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	573	8	581
Fresh	6	2	8
Picked	4	1	5
Done	0	0	0
Total	583	11	594

Accuracy

100.0%

Counts

594 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(fma.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
	22.4%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)) x.im) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)) 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.re x.im)) x.im)))
▶	88.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.im (.f64 x.re x.im)) #s(literal -3 binary64) (.f64 (.f64 x.re x.re) x.re)))
	86.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re) (.f64 (.f64 x.re x.re) x.re)))
▶	61.0%	#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)))
	88.0%	#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))
▶	89.6%	#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 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re))
	60.9%	#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 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.re x.re))) x.re))
▶	49.3%	#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)))
✓	60.9%	#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))
▶	90.0%	#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 -3 binary64) x.re) x.im (.f64 (.f64 #s(literal 0 binary64) x.re) x.re)) x.im (.f64 (*.f64 x.re x.re) x.re)))

Compiler

Compiled 368 to 344 computations (6.5% saved)

series17.0ms (0.4%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

Counts

27 → 41

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite299.0ms (7.6%)

Memory

-6.6MiB live, 258.2MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1417
0	245	1208
1	1689	1184
0	8400	1138
1	26698	1138

Stop Event

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

Counts

68 → 452

Calls

Call 1

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

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

eval48.0ms (1.2%)

Memory: -10.3MiB live, 97.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 3 992 to 1 652 computations (58.6% saved)

prune11.0ms (0.3%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	410	5	415
Fresh	3	2	5
Picked	4	1	5
Done	0	1	1
Total	417	9	426

Accuracy

100.0%

Counts

426 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.0%	#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)))
	88.0%	#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))
▶	92.7%	#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) x.im) x.im (*.f64 x.re x.re)) x.re))
▶	60.9%	#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 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.re x.re))) x.re))
▶	54.8%	#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 x.re x.im) x.im) #s(literal -3 binary64)))
▶	49.3%	#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))
✓	60.9%	#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))
▶	54.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)))
	90.0%	#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 -3 binary64) x.im) x.re #s(literal 0 binary64)) x.im (.f64 (*.f64 x.re x.re) x.re)))

Compiler

Compiled 264 to 264 computations (0% saved)

series84.0ms (2.2%)

Memory

-30.0MiB live, 15.9MiB allocated; 3ms collecting garbage

Counts

25 → 28

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

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

Calls

6 calls:

Time	Variable		Point	Expression
72.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) -3 x.im (* 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)) (* x.im (* (* -3 x.re) x.im)) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (- (* 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.im x.im) -3) (* 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.re x.im) x.im) -3) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ 1 (/ 1 (* x.re x.re))) x.re) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* x.re x.re)))
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)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) -3 x.im (* 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)) (* x.im (* (* -3 x.re) x.im)) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (- (* 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.im x.im) -3) (* 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.re x.im) x.im) -3) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ 1 (/ 1 (* x.re x.re))) x.re) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* x.re 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)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) -3 x.im (* 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)) (* x.im (* (* -3 x.re) x.im)) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (- (* 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.im x.im) -3) (* 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.re x.im) x.im) -3) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ 1 (/ 1 (* x.re x.re))) x.re) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* x.re 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)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) -3 x.im (* 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)) (* x.im (* (* -3 x.re) x.im)) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (- (* 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.im x.im) -3) (* 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.re x.im) x.im) -3) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ 1 (/ 1 (* x.re x.re))) x.re) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* x.re 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)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) -3 x.im (* 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)) (* x.im (* (* -3 x.re) x.im)) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (- (* 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.im x.im) -3) (* 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.re x.im) x.im) -3) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ 1 (/ 1 (* x.re x.re))) x.re) (/ 1 (/ 1 (* x.re x.re))) 1 (/ 1 (* x.re x.re)))

rewrite320.0ms (8.2%)

Memory

59.7MiB live, 236.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	802
0	146	732
1	716	703
2	4669	703
0	8236	695
1	20287	695

Stop Event

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

Counts

53 → 564

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

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 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(.f64 x.re (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x.re x.re) x.re) x.re) (.f64 x.re x.re)) (.f64 (.f64 #s(literal 9 binary64) (.f64 x.re x.re)) (.f64 (.f64 (.f64 x.im x.im) x.im) x.im))) (-.f64 (.f64 (.f64 x.re x.re) x.re) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x.re x.re)) (.f64 (.f64 (.f64 x.im x.im) x.im) x.im) (fma.f64 (.f64 (.f64 (.f64 x.re x.re) x.re) x.re) (.f64 x.re x.re) (.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re) (.f64 (.f64 (neg.f64 x.re) x.re) x.re)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (-.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re) (.f64 (.f64 x.re x.re) x.re))) (fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re (.f64 (*.f64 (neg.f64 x.re) x.re) x.re)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)) x.re) (-.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re) (.f64 (.f64 x.re x.re) x.re))) (-.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re) (.f64 (.f64 x.re x.re) x.re)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (.f64 (.f64 x.re x.re) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x.re x.re)) (.f64 (.f64 (.f64 x.im x.im) x.im) x.im) (-.f64 (.f64 (.f64 (.f64 (.f64 x.re x.re) x.re) x.re) (.f64 x.re x.re)) (.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re) (.f64 (.f64 x.re x.re) x.re)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (.f64 (.f64 x.re x.re) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x.re x.re) x.re) x.re) (.f64 x.re x.re) (-.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x.re x.re)) (.f64 (.f64 (.f64 x.im x.im) x.im) x.im)) (.f64 (.f64 (.f64 x.re x.re) x.re) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re)))))
(neg.f64 (.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) x.re))
(neg.f64 (.f64 x.re (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re))))
(neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.re) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re)))
(fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 x.re (.f64 #s(literal -2 binary64) (.f64 x.im x.im))))
(fma.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.im)) x.re))
(fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) (fabs.f64 x.im)) (fabs.f64 x.im) (.f64 (.f64 x.re x.re) x.re))
(fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) (neg.f64 x.im)) (neg.f64 x.im) (.f64 (.f64 x.re x.re) x.re))
(fma.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re))
(fma.f64 (/.f64 x.re #s(literal -1 binary64)) (.f64 (neg.f64 x.re) x.re) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re))
(fma.f64 (.f64 x.re (fabs.f64 x.re)) (fabs.f64 x.re) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re))
(fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.re (.f64 #s(literal -2 binary64) (.f64 x.im 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.im)) x.re))
(fma.f64 (.f64 (neg.f64 x.re) x.re) (neg.f64 x.re) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re))
(fma.f64 (fabs.f64 x.re) (.f64 (fabs.f64 x.re) x.re) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re))
(fma.f64 (fabs.f64 x.im) (.f64 (fabs.f64 x.im) (.f64 #s(literal -3 binary64) x.re)) (.f64 (.f64 x.re x.re) x.re))
(fma.f64 (neg.f64 x.im) (.f64 (neg.f64 x.im) (.f64 #s(literal -3 binary64) x.re)) (.f64 (.f64 x.re x.re) x.re))
(fma.f64 (neg.f64 x.re) (.f64 (neg.f64 x.re) x.re) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) x.re))
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(fabs.f64 (*.f64 x.re x.re))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x.re)) (/.f64 #s(literal 1 binary64) (fabs.f64 x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x.re)) (/.f64 #s(literal 1 binary64) (neg.f64 x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 #s(literal 1 binary64) x.re))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re x.re)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x.re x.re)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.re x.re)))
(pow.f64 (fabs.f64 x.re) #s(literal -2 binary64))
(pow.f64 (neg.f64 x.re) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal -1 binary64))
(pow.f64 x.re #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x.re)) (fabs.f64 x.re))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x.re)) (neg.f64 x.re))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x.re)) (neg.f64 x.re))
(/.f64 (/.f64 #s(literal 1 binary64) x.re) x.re)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x.re) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x.re) x.re) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(neg.f64 (/.f64 #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)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) 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 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
#s(approx (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re))
#s(approx (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* -3 x.im) x.im) (* x.re x.re)) (.f64 (.f64 #s(literal -3 binary64) x.im) x.im))
#s(approx (+ (* (* -3 x.im) x.im) (* x.re x.re)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re)))
#s(approx (* x.re x.re) (*.f64 x.re x.re))
#s(approx x.re x.re)
#s(approx (* (* -3 x.re) x.im) (.f64 #s(literal -3 binary64) (.f64 x.im x.re)))
#s(approx (* -3 x.re) (*.f64 #s(literal -3 binary64) x.re))
#s(approx (* (* x.re x.im) x.im) (.f64 (.f64 x.im x.im) x.re))
#s(approx (* x.re x.im) (*.f64 x.im x.re))
#s(approx (* (/ 1 (/ 1 (* x.re x.re))) x.re) (.f64 (.f64 x.re x.re) x.re))
#s(approx (/ 1 (* x.re x.re)) (/.f64 #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)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64)) x.re) x.re) x.re))
#s(approx (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64)) x.re) x.re) x.re))
#s(approx (+ (* (* -3 x.im) x.im) (* x.re x.re)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 x.im (.f64 x.re x.re)) #s(literal 1 binary64)) 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64)) x.re) x.re) x.re))
#s(approx (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64)) 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 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
#s(approx (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
#s(approx (* -3 x.im) (*.f64 #s(literal -3 binary64) x.im))
#s(approx x.im x.im)
#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 (*.f64 #s(literal -3 binary64) x.im) 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 (fma.f64 (.f64 x.re x.re) (/.f64 x.re (.f64 x.im x.im)) (*.f64 #s(literal -3 binary64) x.re)) x.im) x.im))
#s(approx (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (.f64 (.f64 (fma.f64 (.f64 x.re x.re) (/.f64 x.re (.f64 x.im x.im)) (*.f64 #s(literal -3 binary64) x.re)) x.im) x.im))
#s(approx (+ (* (* -3 x.im) x.im) (* x.re x.re)) (.f64 (.f64 (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) x.im) x.im))

eval117.0ms (3%)

Memory: -39.5MiB live, 111.7MiB allocated; 31ms collecting garbage
Compiler: Compiled 3 834 to 1 774 computations (53.7% saved)

prune19.0ms (0.5%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	482	5	487
Fresh	1	1	2
Picked	2	3	5
Done	0	2	2
Total	485	11	496

Accuracy

100.0%

Counts

496 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.0%	#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)))
	60.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
	60.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) x.re)))
	88.0%	#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))
	60.9%	#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 (/.f64 #s(literal 1 binary64) x.re)) x.re))
	60.9%	#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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x.re) x.re)) x.re))
✓	54.8%	#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 x.re x.im) x.im) #s(literal -3 binary64)))
✓	49.3%	#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))
✓	60.9%	#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))
✓	54.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)))
	54.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))

Compiler

Compiled 499 to 331 computations (33.7% saved)

regimes84.0ms (2.1%)

Memory

-38.5MiB live, 49.5MiB allocated; 9ms collecting garbage

Counts

32 → 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 x.im (.f64 (*.f64 #s(literal -3 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 x.im (.f64 (*.f64 #s(literal -3 binary64) 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 (*.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 x.re x.im) x.im) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 x.re (/.f64 #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)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 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 (fma.f64 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im 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 #s(literal -3 binary64) x.im) x.im (*.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 (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)) (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.im x.im) (.f64 #s(literal -3 binary64) x.re) (.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)) (fma.f64 (.f64 x.im (.f64 x.re x.im)) #s(literal -3 binary64) (.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)) (fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (.f64 (.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)) (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.re #s(literal 0 binary64)) x.im (.f64 (*.f64 x.re x.re) x.re)))
(fma.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) 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))
#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 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) #s(literal -1 binary64)) (.f64 (.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)) (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.im (.f64 (.f64 #s(literal 0 binary64) x.re) x.re)) x.im (.f64 (*.f64 x.re x.re) x.re)))
(-.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))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 x.re (.f64 x.im x.im))) x.re) x.im) x.im (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im))
(fma.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 x.re (.f64 x.im x.im))) x.re) (.f64 x.im x.im) (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 (.f64 (.f64 x.re x.re) x.re) x.re) (.f64 x.re x.re)) (.f64 (.f64 (.f64 (.f64 x.im x.im) x.im) x.im) (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.re x.re) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im)) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.re x.im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)) x.im) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)) 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.re x.im)) x.im)))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.re) x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (fma.f64 (.f64 (.f64 (.f64 x.re x.re) x.re) x.re) (.f64 x.re x.re) (-.f64 (.f64 (.f64 (.f64 (.f64 x.im x.im) x.im) x.im) (.f64 x.re x.re)) (.f64 (.f64 (.f64 x.re x.re) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))))) (.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)) (pow.f64 x.re #s(literal 3 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	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))`
98.2%	2	`x.re`
95.6%	2	`x.im`

Compiler

Compiled 13 to 15 computations (-15.4% saved)

regimes12.0ms (0.3%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

2 calls:

6.0ms	x.re
5.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
98.2%	2	`x.re`
98.2%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes16.0ms (0.4%)

Memory

-29.8MiB live, 23.1MiB allocated; 10ms 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 x.im (.f64 (*.f64 #s(literal -3 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 x.im (.f64 (*.f64 #s(literal -3 binary64) 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 (*.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 x.re x.im) x.im) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 x.re (/.f64 #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)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 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 (fma.f64 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im 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 #s(literal -3 binary64) x.im) x.im (*.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 (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)) (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.im x.im) (.f64 #s(literal -3 binary64) x.re) (.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)) (fma.f64 (.f64 x.im (.f64 x.re x.im)) #s(literal -3 binary64) (.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)) (fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (.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 x.im (*.f64 (*.f64 #s(literal -3 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 #s(literal -3 binary64) x.im) x.im (*.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
98.2%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
98.2%	2	`x.re`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes8.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Counts

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

Calls

2 calls:

4.0ms	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
98.2%	3	`x.re`
97.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes3.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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.re
1.0ms	x.im
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
60.9%	1	`x.im`
60.9%	1	`x.re`
60.9%	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 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0048810913054641e-288	0.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	8.496678102579946e+85	1.1861951520643778e+94

Samples

1.0ms

16×

valid

Compiler

Compiled 58 to 54 computations (6.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

adjust: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.730926746611937e+291	-2.308327083191071e+259

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0048810913054641e-288	0.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

derivations497.0ms (12.7%)

Memory

12.4MiB live, 385.0MiB allocated; 44ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 90 to 62 computations (31.1% saved)

preprocess207.0ms (5.3%)

Memory

-25.0MiB live, 222.3MiB allocated; 77ms collecting garbage

Remove

(negabs x.re)

(abs x.im)

Compiler

Compiled 1 080 to 902 computations (16.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample994.0ms (25.4%)

preprocess70.0ms (1.8%)

series14.0ms (0.4%)

rewrite243.0ms (6.2%)

eval34.0ms (0.9%)

prune16.0ms (0.4%)

series27.0ms (0.7%)

rewrite345.0ms (8.8%)

eval411.0ms (10.5%)

prune18.0ms (0.5%)

series17.0ms (0.4%)

rewrite299.0ms (7.6%)

eval48.0ms (1.2%)

prune11.0ms (0.3%)

series84.0ms (2.2%)

rewrite320.0ms (8.2%)

eval117.0ms (3%)

prune19.0ms (0.5%)

regimes84.0ms (2.1%)

regimes12.0ms (0.3%)

regimes16.0ms (0.4%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations497.0ms (12.7%)

preprocess207.0ms (5.3%)

end0.0ms (0%)

Profiling