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

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.4s (41.1%)

Memory

-63.1MiB live, 1 569.1MiB allocated; 1.5s collecting garbage

Samples

694.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-mult!: 413.0ms (85% of total)

ival-sub!: 55.0ms (11.3% of total)

ival-add!: 17.0ms (3.5% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess56.0ms (1.6%)

Memory

-17.3MiB live, 75.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	118
1	158	102
2	555	102
3	1524	69

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.0%	(-.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 38 to 22 computations (42.1% saved)

series23.0ms (0.7%)

Memory

10.0MiB live, 55.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	546

Stop Event

1×	iter-limit

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

Calls

6 calls:

Time	Variable	Point
3.0ms	x.im	-inf
3.0ms	x.re	inf
2.0ms	x.re	0
2.0ms	x.re	-inf
2.0ms	x.im	inf

rewrite120.0ms (3.4%)

Memory

3.2MiB live, 196.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	56	59
2	221	59
3	895	54
4	2594	54
0	4151	53

Stop Event

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

Counts

11 → 692

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
(.f64 x.re (fma.f64 (+.f64 x.im x.im) (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(.f64 x.re (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 (*.f64 #s(literal -2 binary64) x.im) x.im)))
(neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 x.re x.re) x.re))))
(fma.f64 (.f64 (neg.f64 x.re) (-.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re))) (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (neg.f64 x.re) (-.f64 (fabs.f64 x.im) (fabs.f64 x.re))) (+.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (neg.f64 x.re) (-.f64 (fabs.f64 x.re) (fabs.f64 x.im))) (-.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 x.re (-.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re))) (-.f64 (fabs.f64 x.im) (fabs.f64 x.re)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64)) x.re (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (fabs.f64 x.im) x.re))) (fabs.f64 x.im) (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (fabs.f64 x.im) x.re)) (neg.f64 (fabs.f64 x.im)) (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x.im))) (.f64 (fabs.f64 x.im) x.re) (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x.im)) (neg.f64 (.f64 (fabs.f64 x.im) x.re)) (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 x.im #s(literal -2 binary64)) (.f64 x.im x.re) (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) (neg.f64 x.im)) (neg.f64 x.re) (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) x.im) x.re (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 (neg.f64 x.re) (-.f64 x.re (fabs.f64 x.im))) (-.f64 (neg.f64 x.re) (fabs.f64 x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (neg.f64 x.re) (-.f64 x.im (fabs.f64 x.re))) (+.f64 (fabs.f64 x.re) x.im) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (neg.f64 x.re) (-.f64 (neg.f64 x.re) (fabs.f64 x.im))) (-.f64 x.re (fabs.f64 x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (neg.f64 x.re) (-.f64 (neg.f64 x.im) (fabs.f64 x.re))) (-.f64 (fabs.f64 x.re) x.im) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (neg.f64 x.re) (neg.f64 (fabs.f64 x.re))) (fabs.f64 x.re) (.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)))
(fma.f64 (.f64 (neg.f64 x.re) (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)))
(fma.f64 (.f64 (-.f64 (fabs.f64 x.im) x.re) x.re) (-.f64 (neg.f64 x.re) (fabs.f64 x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (+.f64 (fabs.f64 x.im) x.re) x.re) (-.f64 x.re (fabs.f64 x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (+.f64 (fabs.f64 x.re) (fabs.f64 x.im)) x.re) (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (-.f64 (fabs.f64 x.re) x.im) x.re) (+.f64 (fabs.f64 x.re) x.im) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (+.f64 (fabs.f64 x.re) x.im) x.re) (-.f64 (fabs.f64 x.re) x.im) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (neg.f64 (.f64 (fabs.f64 x.im) x.re)) (+.f64 (fabs.f64 x.im) (fabs.f64 x.im)) (.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (neg.f64 (.f64 (fabs.f64 x.im) x.re)) (fabs.f64 x.im) (.f64 x.re (fma.f64 (+.f64 x.im x.im) (neg.f64 x.im) (*.f64 x.re x.re))))
(fma.f64 (.f64 (fabs.f64 x.im) x.re) (-.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.im)) (.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 (fabs.f64 x.im) x.re) (neg.f64 (fabs.f64 x.im)) (.f64 x.re (fma.f64 (+.f64 x.im x.im) (neg.f64 x.im) (*.f64 x.re x.re))))
(fma.f64 (neg.f64 (.f64 (fabs.f64 x.re) x.re)) (neg.f64 (fabs.f64 x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)))
(fma.f64 (.f64 (+.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (neg.f64 x.re)) (-.f64 (fabs.f64 x.im) (fabs.f64 x.re)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (-.f64 x.im (fabs.f64 x.re)) x.re) (-.f64 (neg.f64 x.im) (fabs.f64 x.re)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (-.f64 (neg.f64 x.im) (fabs.f64 x.re)) x.re) (-.f64 x.im (fabs.f64 x.re)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (-.f64 x.re (fabs.f64 x.im)) x.re) (+.f64 (fabs.f64 x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (-.f64 (neg.f64 x.re) (fabs.f64 x.im)) x.re) (-.f64 (fabs.f64 x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (+.f64 x.im x.im) (neg.f64 x.im)) x.re (.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 (-.f64 (fabs.f64 x.im) (fabs.f64 x.re)) x.re) (-.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) x.re) (+.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (fabs.f64 x.re) x.re) (fabs.f64 x.re) (.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)))
(fma.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) #s(literal 2 binary64) (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 x.im x.re) x.im) (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 (-.f64 x.im x.re) x.re) (-.f64 (neg.f64 x.re) x.im) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (-.f64 (neg.f64 x.re) x.im) x.re) (-.f64 x.im x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 #s(literal -2 binary64) x.im) (.f64 x.im x.re) (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (-.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re)) (.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (neg.f64 x.re)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (-.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re)) (.f64 (-.f64 (fabs.f64 x.im) (fabs.f64 x.re)) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 x.re x.re) x.re))
(fma.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (+.f64 x.im x.re) x.re) x.re (fma.f64 (.f64 (+.f64 x.im x.re) (neg.f64 x.im)) x.re (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im)))
(fma.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (+.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im) (.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (+.f64 x.im x.im) (.f64 (neg.f64 x.re) x.im) (.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(fma.f64 (.f64 (neg.f64 x.re) x.re) (neg.f64 x.re) (.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)))
(fma.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (.f64 (-.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re)) (neg.f64 x.re)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (.f64 (+.f64 (fabs.f64 x.re) (fabs.f64 x.im)) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
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(.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (.f64 (+.f64 (fabs.f64 x.re) (fabs.f64 x.im)) x.re))
(.f64 (+.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (.f64 (-.f64 (fabs.f64 x.im) (fabs.f64 x.re)) (neg.f64 x.re)))
(.f64 (+.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) x.re))
(.f64 (+.f64 (fabs.f64 x.re) x.im) (.f64 (-.f64 x.im (fabs.f64 x.re)) (neg.f64 x.re)))
(.f64 (+.f64 (fabs.f64 x.re) x.im) (.f64 (-.f64 (fabs.f64 x.re) x.im) x.re))
(.f64 (-.f64 (fabs.f64 x.re) x.im) (.f64 (-.f64 (neg.f64 x.im) (fabs.f64 x.re)) (neg.f64 x.re)))
(.f64 (-.f64 (fabs.f64 x.re) x.im) (.f64 (+.f64 (fabs.f64 x.re) x.im) x.re))
(.f64 (-.f64 (neg.f64 x.re) (fabs.f64 x.im)) (.f64 (-.f64 x.re (fabs.f64 x.im)) (neg.f64 x.re)))
(.f64 (-.f64 (neg.f64 x.re) (fabs.f64 x.im)) (.f64 (-.f64 (fabs.f64 x.im) x.re) x.re))
(.f64 (-.f64 x.im x.re) (.f64 (-.f64 (neg.f64 x.re) x.im) x.re))
(.f64 (-.f64 x.re (fabs.f64 x.im)) (.f64 (-.f64 (neg.f64 x.re) (fabs.f64 x.im)) (neg.f64 x.re)))
(.f64 (-.f64 x.re (fabs.f64 x.im)) (.f64 (+.f64 (fabs.f64 x.im) x.re) x.re))
(.f64 (-.f64 (fabs.f64 x.im) (fabs.f64 x.re)) (.f64 (-.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re)) x.re))
(.f64 (-.f64 (fabs.f64 x.im) (fabs.f64 x.re)) (.f64 (+.f64 (fabs.f64 x.re) (fabs.f64 x.im)) (neg.f64 x.re)))
(.f64 (+.f64 (fabs.f64 x.im) x.re) (.f64 (-.f64 x.re (fabs.f64 x.im)) x.re))
(.f64 (-.f64 (fabs.f64 x.im) x.re) (.f64 (-.f64 (neg.f64 x.re) (fabs.f64 x.im)) x.re))
(.f64 (-.f64 (neg.f64 x.im) (fabs.f64 x.re)) (.f64 (-.f64 x.im (fabs.f64 x.re)) x.re))
(.f64 (-.f64 (neg.f64 x.re) x.im) (.f64 (-.f64 x.im x.re) x.re))
(.f64 (-.f64 x.im (fabs.f64 x.re)) (.f64 (-.f64 (neg.f64 x.im) (fabs.f64 x.re)) x.re))
(.f64 (.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)) (neg.f64 x.re))
(.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
(.f64 (neg.f64 x.re) (.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re)
(.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(neg.f64 (.f64 (.f64 (-.f64 x.im x.re) x.re) (+.f64 x.im x.re)))
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(fma.f64 (+.f64 x.im x.re) (.f64 x.re x.re) (.f64 (*.f64 (+.f64 x.im x.re) x.re) (neg.f64 x.im)))
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(pow.f64 x.re #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x.re) x.re))
(sqrt.f64 (.f64 (.f64 (*.f64 x.re x.re) x.re) x.re))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (fabs.f64 x.re) x.re))))
(fabs.f64 (*.f64 (neg.f64 x.re) (neg.f64 (fabs.f64 x.re))))
(fabs.f64 (*.f64 (neg.f64 x.re) (fabs.f64 x.re)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 x.re)))
(fabs.f64 (*.f64 (fabs.f64 x.re) (neg.f64 x.re)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x.re) x.re)))
(fabs.f64 (*.f64 (fabs.f64 x.re) x.re))
(fabs.f64 (*.f64 (neg.f64 x.re) x.re))
(fabs.f64 (*.f64 x.re x.re))
x.re
(*.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 (fabs.f64 x.im)))
(*.f64 (fabs.f64 x.im) (fabs.f64 x.im))
(*.f64 (neg.f64 x.im) (neg.f64 x.im))
(*.f64 x.im x.im)
(pow.f64 (pow.f64 x.im #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x.im x.im) x.im) x.im) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x.im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x.im) #s(literal 2 binary64))
(pow.f64 (neg.f64 x.im) #s(literal 2 binary64))
(pow.f64 (*.f64 x.im x.im) #s(literal 1 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x.im) x.im))
(sqrt.f64 (.f64 (.f64 (*.f64 x.im x.im) x.im) x.im))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x.im) (neg.f64 (fabs.f64 x.im)))))
(fabs.f64 (neg.f64 (*.f64 x.im (neg.f64 (fabs.f64 x.im)))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x.im) (fabs.f64 x.im))))
(fabs.f64 (neg.f64 (*.f64 x.im (fabs.f64 x.im))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 x.im))))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x.im) (neg.f64 x.im))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x.im)) x.im)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x.im) x.im)))
(fabs.f64 (*.f64 (neg.f64 x.im) (neg.f64 (fabs.f64 x.im))))
(fabs.f64 (*.f64 x.im (neg.f64 (fabs.f64 x.im))))
(fabs.f64 (*.f64 (neg.f64 x.im) (fabs.f64 x.im)))
(fabs.f64 (*.f64 x.im (fabs.f64 x.im)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 x.im)))
(fabs.f64 (*.f64 (fabs.f64 x.im) (neg.f64 x.im)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x.im)) x.im))
(fabs.f64 (*.f64 (fabs.f64 x.im) x.im))
(fabs.f64 (*.f64 (neg.f64 x.im) x.im))
(fabs.f64 (*.f64 x.im x.im))
x.im
(.f64 (.f64 (neg.f64 x.im) #s(literal -2 binary64)) (*.f64 x.im x.re))
(.f64 (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re)
(.f64 (.f64 (+.f64 x.im x.im) x.im) x.re)
(.f64 (.f64 (+.f64 x.im x.im) (neg.f64 x.im)) (neg.f64 x.re))
(.f64 #s(literal -2 binary64) (.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(.f64 (.f64 #s(literal -2 binary64) x.im) (*.f64 (neg.f64 x.re) x.im))
(.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal 2 binary64))
(.f64 (+.f64 x.re x.re) (.f64 x.im x.im))
(.f64 (+.f64 x.im x.im) (.f64 x.im x.re))
(.f64 (neg.f64 (fabs.f64 x.im)) (.f64 (neg.f64 (fabs.f64 x.im)) (+.f64 x.re x.re)))
(.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) (neg.f64 x.im))
(.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -2 binary64) x.re))
(.f64 (.f64 (neg.f64 x.re) x.im) (*.f64 #s(literal -2 binary64) x.im))
(.f64 (fabs.f64 x.im) (.f64 (fabs.f64 x.im) (+.f64 x.re x.re)))
(.f64 (neg.f64 x.re) (.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
(.f64 (neg.f64 x.im) (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 (.f64 x.im x.re) x.im)))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x.im x.re) x.im))
(.f64 (.f64 (+.f64 x.re x.re) x.im) x.im)
(.f64 (.f64 x.im x.re) (+.f64 x.im x.im))
(.f64 (.f64 x.im x.im) (+.f64 x.re x.re))
(.f64 x.im (.f64 (+.f64 x.re x.re) x.im))
(.f64 x.re (fma.f64 x.im x.im (.f64 x.im x.im)))
(.f64 x.re (.f64 (*.f64 #s(literal -2 binary64) x.im) (neg.f64 x.im)))
(.f64 x.re (.f64 (+.f64 x.im x.im) x.im))
(neg.f64 (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (neg.f64 x.re) (neg.f64 (fabs.f64 x.im))) (fabs.f64 x.im) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (.f64 (neg.f64 x.re) (fabs.f64 x.im)) (neg.f64 (fabs.f64 x.im)) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (neg.f64 (neg.f64 (.f64 (fabs.f64 x.im) x.re))) (fabs.f64 x.im) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (neg.f64 (.f64 (fabs.f64 x.im) x.re)) (neg.f64 (fabs.f64 x.im)) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (.f64 (fabs.f64 x.im) x.re) (fabs.f64 x.im) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (neg.f64 (fabs.f64 x.im)) (.f64 (fabs.f64 x.im) (neg.f64 x.re)) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 (.f64 (fabs.f64 x.im) x.re)) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (.f64 (neg.f64 x.im) x.im) (neg.f64 x.re) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (.f64 (neg.f64 x.re) x.im) (neg.f64 x.im) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (fabs.f64 x.im) (.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 x.re)) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (fabs.f64 x.im) (neg.f64 (neg.f64 (.f64 (fabs.f64 x.im) x.re))) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (fabs.f64 x.im) (.f64 (fabs.f64 x.im) x.re) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (neg.f64 x.re) (.f64 (neg.f64 x.im) x.im) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (neg.f64 x.im) (.f64 (neg.f64 x.re) x.im) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (.f64 x.im x.re) x.im (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (.f64 x.im x.im) x.re (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 x.im (.f64 x.im x.re) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 x.re (.f64 x.im x.im) (.f64 (*.f64 x.im x.re) x.im))
(-.f64 (.f64 (.f64 x.im x.re) x.im) (.f64 (.f64 (neg.f64 x.im) x.im) x.re))
(+.f64 (.f64 (.f64 x.im x.re) x.im) (.f64 (.f64 x.im x.re) x.im))
(.f64 (.f64 #s(literal -2 binary64) x.re) (neg.f64 x.im))
(.f64 #s(literal -2 binary64) (.f64 (neg.f64 x.re) x.im))
(.f64 (.f64 #s(literal -2 binary64) x.im) (neg.f64 x.re))
(*.f64 (+.f64 x.re x.re) x.im)
(*.f64 (+.f64 x.im x.im) x.re)
(.f64 (neg.f64 x.re) (.f64 #s(literal -2 binary64) x.im))
(.f64 (neg.f64 x.im) (.f64 (neg.f64 x.re) #s(literal 2 binary64)))
(.f64 (neg.f64 x.im) (.f64 #s(literal -2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (*.f64 x.im x.re)))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 (+.f64 x.re x.re) x.im) #s(literal 1 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.re (+.f64 x.im x.im))
(/.f64 (*.f64 (+.f64 x.re x.re) x.im) #s(literal 1 binary64))
(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 (neg.f64 x.re) (neg.f64 x.im) (*.f64 x.im x.re))
(fma.f64 (neg.f64 x.im) (neg.f64 x.re) (*.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 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(-.f64 (.f64 (.f64 x.im x.re) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 x.im x.re) #s(literal 1 binary64))))
(-.f64 (.f64 #s(literal 1 binary64) (.f64 x.im x.re)) (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x.im x.re))))
(-.f64 (.f64 x.im x.re) (.f64 (neg.f64 x.re) x.im))
(+.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 x.im x.re))
(*.f64 (neg.f64 x.re) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (neg.f64 x.re))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(neg.f64 (*.f64 (neg.f64 x.re) x.im))
(*.f64 (neg.f64 x.re) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (neg.f64 x.re))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(neg.f64 (*.f64 (neg.f64 x.re) x.im))

eval72.0ms (2%)

Memory: 12.2MiB live, 198.5MiB allocated; 17ms collecting garbage
Compiler: Compiled 16 369 to 2 012 computations (87.7% saved)

prune17.0ms (0.5%)

Memory

-0.3MiB live, 50.5MiB allocated; 6ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	698	9	707
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	699	9	708

Accuracy

100.0%

Counts

708 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.9%	(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
	88.7%	(fma.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) x.im) x.re (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
▶	80.0%	(fma.f64 (.f64 x.re x.re) x.re (.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.re)))
▶	86.9%	(fma.f64 (.f64 x.im x.re) (-.f64 (neg.f64 x.im) (+.f64 x.im x.im)) (.f64 (*.f64 x.re x.re) x.re))
	86.9%	(fma.f64 (neg.f64 x.im) (fma.f64 x.im x.re (.f64 (+.f64 x.re x.re) x.im)) (.f64 (*.f64 x.re x.re) x.re))
	76.9%	(fma.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 x.re x.re) x.re))
	88.6%	(.f64 x.re (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 (*.f64 #s(literal -2 binary64) x.im) x.im)))
▶	92.6%	(.f64 x.re (fma.f64 (+.f64 x.im x.im) (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
▶	58.8%	#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)))

Compiler

Compiled 282 to 176 computations (37.6% saved)

series40.0ms (1.1%)

Memory

2.6MiB live, 93.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	2214

Stop Event

1×	iter-limit

Counts

26 → 87

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
5.0ms	x.im	0
5.0ms	x.re	-inf
4.0ms	x.re	0
4.0ms	x.re	inf
4.0ms	x.im	inf

rewrite149.0ms (4.2%)

Memory

-15.7MiB live, 274.4MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	172
0	59	171
1	172	166
2	625	140
3	2248	134
0	4029	133

Stop Event

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

Counts

26 → 1 344

Calls

Call 1

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

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

eval289.0ms (8.2%)

Memory: 59.5MiB live, 383.2MiB allocated; 153ms collecting garbage
Compiler: Compiled 17 704 to 2 347 computations (86.7% saved)

prune24.0ms (0.7%)

Memory

16.8MiB live, 63.2MiB allocated; 7ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	912	8	920
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	920	9	929

Accuracy

100.0%

Counts

929 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.1%	(fma.f64 (.f64 (.f64 x.im x.re) x.im) #s(literal -3 binary64) (.f64 (.f64 x.re x.re) x.re))
	86.9%	(fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im (.f64 (.f64 x.re x.re) x.re))
▶	83.9%	(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re (.f64 (.f64 x.re x.re) x.re))
▶	87.0%	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
▶	90.9%	(.f64 x.re (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)))
	88.6%	(.f64 x.re (fma.f64 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
✓	58.8%	#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)))
▶	58.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
	53.6%	#s(approx (+ (* (* x.im x.re) (- (neg x.im) (+ x.im x.im))) (* (* x.re x.re) x.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (+.f64 x.im (.f64 #s(literal 2 binary64) x.im))))))

Compiler

Compiled 261 to 168 computations (35.6% saved)

series21.0ms (0.6%)

Memory

-17.3MiB live, 29.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	520

Stop Event

1×	iter-limit

Counts

17 → 25

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
2.0ms	x.re	-inf
2.0ms	x.im	inf
2.0ms	x.im	-inf
2.0ms	x.re	inf
2.0ms	x.re	0

rewrite212.0ms (6%)

Memory

-1.8MiB live, 192.1MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	115
0	41	107
1	113	105
2	371	105
3	1276	98
4	3340	98
0	4004	98

Stop Event

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

Counts

17 → 966

Calls

Call 1

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

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

eval44.0ms (1.3%)

Memory: 45.0MiB live, 90.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 766 to 961 computations (87.6% saved)

prune94.0ms (2.7%)

Memory

-42.8MiB live, 26.7MiB allocated; 113ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	463	2	465
Fresh	1	2	3
Picked	0	5	5
Done	0	1	1
Total	464	10	474

Accuracy

100.0%

Counts

474 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.1%	(fma.f64 (.f64 (.f64 x.im x.re) x.im) #s(literal -3 binary64) (.f64 (.f64 x.re x.re) x.re))
▶	86.9%	(fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im (.f64 (.f64 x.re x.re) x.re))
✓	83.9%	(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re (.f64 (.f64 x.re x.re) x.re))
✓	87.0%	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
✓	90.9%	(.f64 x.re (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)))
▶	88.6%	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
✓	58.8%	#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)))
✓	58.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
▶	55.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 x.re x.re) x.re) x.re)) x.re))
▶	53.6%	#s(approx (+ (* (* x.im x.re) (- (neg x.im) (+ x.im x.im))) (* (* x.re x.re) x.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (+.f64 x.im (.f64 #s(literal 2 binary64) x.im))))))

Compiler

Compiled 172 to 108 computations (37.2% saved)

series30.0ms (0.9%)

Memory

13.9MiB live, 64.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	751

Stop Event

1×	iter-limit

Counts

24 → 35

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
9.0ms	x.re	-inf
4.0ms	x.re	inf
3.0ms	x.re	0
3.0ms	x.im	inf
3.0ms	x.im	-inf

rewrite165.0ms (4.7%)

Memory

-29.1MiB live, 299.0MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	177
0	57	159
1	166	131
2	586	121
3	2083	121
0	4182	121

Stop Event

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

Counts

24 → 3 132

Calls

Call 1

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

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

eval257.0ms (7.3%)

Memory: 55.1MiB live, 609.7MiB allocated; 95ms collecting garbage
Compiler: Compiled 49 813 to 4 878 computations (90.2% saved)

prune44.0ms (1.3%)

Memory

-14.2MiB live, 122.0MiB allocated; 17ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	2 151	4	2 155
Fresh	0	0	0
Picked	4	0	4
Done	1	5	6
Total	2 156	9	2 165

Accuracy

100.0%

Counts

2 165 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.1%	(fma.f64 (.f64 (.f64 x.im x.re) x.im) #s(literal -3 binary64) (.f64 (.f64 x.re x.re) x.re))
✓	83.9%	(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re (.f64 (.f64 x.re x.re) x.re))
✓	87.0%	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
✓	58.8%	#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)))
✓	58.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
	46.3%	#s(approx (+ (* (* x.im x.re) (- (neg x.im) (+ x.im x.im))) (* (* x.re x.re) x.re)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
	53.6%	#s(approx (+ (* (* x.im x.re) (- (neg x.im) (+ x.im x.im))) (* (* x.re x.re) x.re)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
	53.6%	#s(approx (+ (* (* x.im x.re) (- (neg x.im) (+ x.im x.im))) (* (* x.re x.re) x.re)) (.f64 (.f64 x.re (*.f64 (fabs.f64 x.im) #s(literal -3 binary64))) (fabs.f64 x.im)))
	53.5%	#s(approx (+ (* (* x.im x.re) (- (neg x.im) (+ x.im x.im))) (* (* x.re x.re) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im)))

Compiler

Compiled 180 to 112 computations (37.8% saved)

regimes52.0ms (1.5%)

Memory

29.0MiB live, 127.1MiB allocated; 13ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 2

8 → 2

18 → 2

24 → 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))

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))

Call 2

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

Outputs

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

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

Call 3

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

Outputs

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

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

Call 4

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

Outputs

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

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

Call 5

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

Outputs

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

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

Calls

11 calls:

12.0ms	x.re
8.0ms	x.re
6.0ms	x.im
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))
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
58.7%	1	`x.re`
58.7%	1	`x.im`
58.7%	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))`
97.6%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
97.7%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
97.9%	3	`x.re`
98.3%	2	`x.re`
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))`
99.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
99.8%	2	`x.re`
96.7%	2	`x.im`

Compiler

Compiled 518 to 169 computations (67.4% saved)

bsearch3.0ms (0.1%)

Memory

-44.4MiB live, 1.4MiB allocated; 4ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
3.0ms	-1375497.8571284958	-1.9975433603141473e-6

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1375497.8571284958	-1.9975433603141473e-6

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.075046e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.075046e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

derivations178.0ms (5.1%)

Memory

6.5MiB live, 244.0MiB allocated; 22ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 284 to 53 computations (81.3% saved)

preprocess181.0ms (5.2%)

Memory

-9.2MiB live, 332.8MiB allocated; 50ms collecting garbage

Remove

(negabs x.re)

(abs x.im)

Compiler

Compiled 1 974 to 941 computations (52.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (41.1%)

preprocess56.0ms (1.6%)

series23.0ms (0.7%)

rewrite120.0ms (3.4%)

eval72.0ms (2%)

prune17.0ms (0.5%)

series40.0ms (1.1%)

rewrite149.0ms (4.2%)

eval289.0ms (8.2%)

prune24.0ms (0.7%)

series21.0ms (0.6%)

rewrite212.0ms (6%)

eval44.0ms (1.3%)

prune94.0ms (2.7%)

series30.0ms (0.9%)

rewrite165.0ms (4.7%)

eval257.0ms (7.3%)

prune44.0ms (1.3%)

regimes52.0ms (1.5%)

bsearch3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations178.0ms (5.1%)

preprocess181.0ms (5.2%)

end0.0ms (0%)

Profiling