Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.2s (32.4%)

Memory

28.9MiB live, 964.4MiB allocated; 326ms collecting garbage

Samples

836.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-mult!: 345.0ms (76.5% of total)

ival-add!: 82.0ms (18.2% of total)

ival-sub!: 22.0ms (4.9% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess38.0ms (1%)

Memory

41.5MiB live, 41.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	114
1	272	90
2	2060	78

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.3%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Symmetry

(abs x.re)

(abs x.im)

(negabs x.re)

(negabs x.im)

Compiler

Compiled 38 to 22 computations (42.1% saved)

series116.0ms (3.2%)

Memory

-41.0MiB live, 103.8MiB allocated; 54ms collecting garbage

Counts

11 → 26

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
4.0ms	x.re	0
3.0ms	x.im	-inf
2.0ms	x.im	0
2.0ms	x.im	inf
2.0ms	x.re	inf

rewrite179.0ms (4.9%)

Memory

48.1MiB live, 229.6MiB allocated; 34ms collecting garbage

Counts

11 → 49

Calls

Call 1

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

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

eval13.0ms (0.3%)

Memory: -37.9MiB live, 8.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 1 321 to 248 computations (81.2% saved)

prune7.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	43	12	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	12	56

Accuracy

99.9%

Counts

56 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.3%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
▶	30.1%	(+.f64 (.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	53.9%	(+.f64 (.f64 (.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	3.6%	(*.f64 x.re #s(literal 2 binary64))
	2.6%	(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
	47.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))))
	36.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im))))
	36.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
	44.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
▶	2.6%	#s(literal 2 binary64)
	2.6%	#s(literal 1 binary64)
▶	18.8%	#s(literal 0 binary64)

Compiler

Compiled 376 to 248 computations (34% saved)

series119.0ms (3.2%)

Memory

25.1MiB live, 71.5MiB allocated; 23ms collecting garbage

Counts

19 → 55

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
5.0ms	x.im	-inf
3.0ms	x.im	inf
3.0ms	x.re	-inf
3.0ms	x.re	inf
2.0ms	x.re	0

rewrite233.0ms (6.4%)

Memory

-34.1MiB live, 93.5MiB allocated; 137ms collecting garbage

Counts

19 → 95

Calls

Call 1

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

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

eval9.0ms (0.3%)

Memory: 11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 170 to 376 computations (82.7% saved)

prune10.0ms (0.3%)

Memory

-35.1MiB live, 10.6MiB allocated; 4ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	1	6	7
Picked	2	3	5
Done	0	0	0
Total	67	15	82

Accuracy

100.0%

Counts

82 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.3%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	30.1%	(+.f64 (.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) x.im) (.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
▶	53.9%	(+.f64 (.f64 (.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	48.3%	(+.f64 (.f64 (.f64 #s(approx (+ x.im x.re) (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	3.6%	(*.f64 x.re #s(literal 2 binary64))
▶	2.6%	(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
	36.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im))))
	36.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
▶	44.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
	27.1%	#s(approx (+ (* (- (fabs x.re) (fabs x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (-.f64 (fabs.f64 x.re) (fabs.f64 x.im))))
	51.6%	#s(approx (+ (* (* (+ x.im x.re) x.im) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re (fma.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)) (.f64 x.re (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))))))
	3.6%	x.re
✓	2.6%	#s(literal 2 binary64)
▶	2.6%	#s(literal 1 binary64)
✓	18.8%	#s(literal 0 binary64)

Compiler

Compiled 515 to 328 computations (36.3% saved)

series118.0ms (3.2%)

Memory

27.3MiB live, 72.7MiB allocated; 11ms collecting garbage

Counts

24 → 63

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite183.0ms (5%)

Memory

-2.3MiB live, 135.4MiB allocated; 40ms collecting garbage

Counts

24 → 92

Calls

Call 1

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

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

eval9.0ms (0.2%)

Memory: 12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 476 to 357 computations (85.6% saved)

prune20.0ms (0.5%)

Memory

-28.9MiB live, 16.6MiB allocated; 12ms collecting garbage

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	1	6	7
Picked	0	5	5
Done	0	3	3
Total	67	22	89

Accuracy

100.0%

Counts

89 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.3%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	30.1%	(+.f64 (.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) x.im) (.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
✓	53.9%	(+.f64 (.f64 (.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
▶	31.2%	(+.f64 (.f64 (.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) (*.f64 #s(approx 2 #s(literal 2 binary64)) x.re))
	48.3%	(+.f64 (.f64 (.f64 #s(approx (+ x.im x.re) (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (-.f64 x.re x.im)) (.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	45.8%	(+.f64 (.f64 (.f64 #s(approx (+ x.im x.re) x.im) x.im) (-.f64 x.re x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	46.6%	(+.f64 (.f64 #s(approx ( (+ x.im x.re) x.im) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) (-.f64 x.re x.im)) (.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	15.4%	(+.f64 x.re (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	16.7%	(+.f64 x.im (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	2.6%	(+.f64 #s(literal 2 binary64) (*.f64 #s(approx 2 #s(literal 2 binary64)) #s(literal 2 binary64)))
▶	32.3%	(+.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
✓	3.6%	(*.f64 x.re #s(literal 2 binary64))
✓	2.6%	(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
▶	36.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im))))
	36.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
✓	44.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
	27.1%	#s(approx (+ (* (- (fabs x.re) (fabs x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (-.f64 (fabs.f64 x.re) (fabs.f64 x.im))))
▶	51.6%	#s(approx (+ (* (* (+ x.im x.re) x.im) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re (fma.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)) (.f64 x.re (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))))))
▶	3.6%	x.re
✓	2.6%	#s(literal 2 binary64)
✓	2.6%	#s(literal 1 binary64)
✓	18.8%	#s(literal 0 binary64)

Compiler

Compiled 718 to 461 computations (35.8% saved)

series172.0ms (4.7%)

Memory

35.5MiB live, 88.1MiB allocated; 17ms collecting garbage

Counts

31 → 80

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
20.0ms	x.re	inf
6.0ms	x.re	-inf
4.0ms	x.im	-inf
4.0ms	x.im	0
4.0ms	x.im	inf

rewrite248.0ms (6.8%)

Memory

-27.2MiB live, 107.7MiB allocated; 32ms collecting garbage

Counts

31 → 119

Calls

Call 1

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

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

eval10.0ms (0.3%)

Memory: 12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 070 to 460 computations (85% saved)

prune11.0ms (0.3%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	1	8	9
Picked	3	2	5
Done	1	7	8
Total	91	23	114

Accuracy

100.0%

Counts

114 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.1%	(+.f64 (.f64 (-.f64 (fabs.f64 x.re) (fabs.f64 x.im)) x.im) (.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
✓	53.9%	(+.f64 (.f64 (.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	48.3%	(+.f64 (.f64 (.f64 #s(approx (+ x.im x.re) (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (-.f64 x.re x.im)) (.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	45.8%	(+.f64 (.f64 (.f64 #s(approx (+ x.im x.re) x.im) x.im) (-.f64 x.re x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	29.1%	(+.f64 (.f64 (.f64 #s(approx (+ x.im x.re) x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(approx 2 #s(literal 2 binary64)) x.re))
	15.4%	(+.f64 x.re (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	16.7%	(+.f64 x.im (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
	2.6%	(+.f64 #s(literal 2 binary64) (*.f64 #s(approx 2 #s(literal 2 binary64)) #s(literal 2 binary64)))
✓	32.3%	(+.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
✓	3.6%	(*.f64 x.re #s(literal 2 binary64))
✓	2.6%	(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
	36.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(approx (+ x.im ( 2 x.im)) (*.f64 #s(literal 3 binary64) x.im))))
	36.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
✓	44.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
	27.1%	#s(approx (+ (* (- (fabs x.re) (fabs x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (-.f64 (fabs.f64 x.re) (fabs.f64 x.im))))
	51.6%	#s(approx (+ (* (* (+ x.im x.re) x.im) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re (fma.f64 x.im #s(approx (+ x.im ( -1 x.im)) #s(literal 0 binary64)) (.f64 x.re (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))))))
	51.6%	#s(approx (+ (* (* (+ x.im x.re) x.im) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re #s(approx (+ ( x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))) (.f64 #s(literal 3 binary64) (.f64 x.im x.re))))))
	36.3%	#s(approx (+ (* (* (+ x.im x.re) x.im) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(approx (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
	2.8%	#s(approx (+ (* (* (+ x.im x.re) x.im) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(literal -1 binary64))
✓	3.6%	x.re
✓	2.6%	#s(literal 2 binary64)
✓	2.6%	#s(literal 1 binary64)
✓	18.8%	#s(literal 0 binary64)

Compiler

Compiled 469 to 308 computations (34.3% saved)

regimes206.0ms (5.6%)

Memory

-24.2MiB live, 169.1MiB allocated; 41ms collecting garbage

Accuracy

Total -11.2b remaining (-3.6%)

Threshold costs -11.2b (-3.6%)

Counts

8 → 1

9 → 2

12 → 2

14 → 2

16 → 2

17 → 2

18 → 2

20 → 2

33 → 2

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Call 2

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x.re
#s(approx (+ (* (* (+ x.im x.re) x.im) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x.re #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(approx 2 #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (- (fabs x.re) (fabs x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (-.f64 (fabs.f64 x.re) (fabs.f64 x.im))))

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

Call 3

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x.re
#s(approx (+ (* (* (+ x.im x.re) x.im) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x.re #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(approx 2 #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (- (fabs x.re) (fabs x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (-.f64 (fabs.f64 x.re) (fabs.f64 x.im))))
(+.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
(+.f64 x.im (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
(+.f64 x.re (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))

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

Outputs

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

(+.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re))

Call 4

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x.re
#s(approx (+ (* (* (+ x.im x.re) x.im) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x.re #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(approx 2 #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (- (fabs x.re) (fabs x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (-.f64 (fabs.f64 x.re) (fabs.f64 x.im))))
(+.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
(+.f64 x.im (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
(+.f64 x.re (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.re))
(+.f64 (.f64 (.f64 #s(approx (+ x.im x.re) x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(approx 2 #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) (*.f64 #s(approx 2 #s(literal 2 binary64)) x.re))

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

Outputs

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

(+.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re))

Call 5

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

Outputs

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

(+.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re))

Call 6

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

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

Outputs

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

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

Call 7

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

Outputs

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

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

Call 8

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

Outputs

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

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

Call 9

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

Outputs

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

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

Calls

22 calls:

41.0ms	x.im
14.0ms	x.re
10.0ms	x.im
10.0ms	x.re
8.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
18.8%	1	`x.re`
18.8%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
18.8%	1	`x.im`
27.1%	1	`x.re`
33.1%	2	`x.im`
33.2%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
39.0%	2	`x.im`
40.1%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
36.2%	2	`x.re`
49.3%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
50.6%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
48.0%	2	`x.im`
50.9%	2	`x.im`
49.8%	2	`x.re`
50.6%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
54.6%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
52.9%	2	`x.re`
54.6%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
53.5%	3	`x.im`
58.6%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
53.9%	1	`x.re`
59.0%	2	`x.im`

Compiler

Compiled 914 to 259 computations (71.7% saved)

bsearch15.0ms (0.4%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.4516782158443416e+111	3.042429531946944e+118

Samples

7.0ms

144×

valid

Compiler

Compiled 472 to 313 computations (33.7% saved)

Precisions

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

ival-mult!: 3.0ms (68.6% of total)

ival-add!: 1.0ms (22.9% of total)

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

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.67e-322	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.67e-322	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4516782158443416e+111	3.042429531946944e+118

Compiler

Compiled 490 to 322 computations (34.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.482190786913043e-204	3.2159785811298075e-177

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.359809115404296e-252	-9.074686467899181e-299

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.335451559195719e-173	-7.811709685741693e-212

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch42.0ms (1.2%)

Memory

-43.6MiB live, 18.3MiB allocated; 52ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.2918590372370635e-78	4.341123837802674e-77

Samples

6.0ms

112×

valid

Compiler

Compiled 204 to 163 computations (20.1% saved)

Precisions

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

ival-mult!: 3.0ms (81.9% of total)

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

adjust: 0.0ms (0% of total)

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

derivations3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 503 to 101 computations (79.9% saved)

preprocess712.0ms (19.4%)

Memory

30.6MiB live, 922.2MiB allocated; 205ms collecting garbage

Remove

(negabs x.im)

(negabs x.re)

(abs x.im)

(abs x.re)

Compiler

Compiled 7 167 to 3 687 computations (48.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (32.4%)

preprocess38.0ms (1%)

series116.0ms (3.2%)

rewrite179.0ms (4.9%)

eval13.0ms (0.3%)

prune7.0ms (0.2%)

series119.0ms (3.2%)

rewrite233.0ms (6.4%)

eval9.0ms (0.3%)

prune10.0ms (0.3%)

series118.0ms (3.2%)

rewrite183.0ms (5%)

eval9.0ms (0.2%)

prune20.0ms (0.5%)

series172.0ms (4.7%)

rewrite248.0ms (6.8%)

eval10.0ms (0.3%)

prune11.0ms (0.3%)

regimes206.0ms (5.6%)

bsearch15.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch42.0ms (1.2%)

derivations3.0ms (0.1%)

preprocess712.0ms (19.4%)

end0.0ms (0%)

Profiling