Metrics for math.sqrt on complex, imaginary part, im greater than 0 branch

start0.0ms (0%)

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

analyze118.0ms (0.8%)

Memory

40.2MiB live, 120.3MiB allocated; 24ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
62.5%	31.2%	18.7%	50%	0%	0%	0%	4
62.5%	31.2%	18.7%	50%	0%	0%	0%	5
68.8%	34.3%	15.6%	50%	0%	0%	0%	6
68.8%	34.3%	15.6%	50%	0%	0%	0%	7
71.9%	35.9%	14%	50%	0%	0%	0%	8
71.9%	35.9%	14%	50%	0%	0%	0%	9
73.4%	36.7%	13.3%	50%	0%	0%	0%	10
73.4%	36.7%	13.3%	50%	0%	0%	0%	11
74.2%	37.1%	12.9%	50%	0%	0%	0%	12

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample1.5s (10.2%)

Memory

-6.5MiB live, 1 127.6MiB allocated; 282ms collecting garbage

Samples

678.0ms	6 231×	0	valid
222.0ms	768×	2	valid
178.0ms	475×	3	valid
132.0ms	782×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 885.0ms

ival-hypot: 459.0ms (51.9% of total)

ival-mult!: 194.0ms (21.9% of total)

ival-sqrt: 139.0ms (15.7% of total)

adjust: 55.0ms (6.2% of total)

ival-sub!: 38.0ms (4.3% of total)

Bogosity

preprocess60.0ms (0.4%)

Memory

-9.0MiB live, 30.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	90
1	127	90
2	333	90
3	760	90
4	2673	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Symmetry

(abs im)

Compiler

Compiled 24 to 24 computations (0% saved)

series585.0ms (4%)

Memory

-21.7MiB live, 464.8MiB allocated; 90ms collecting garbage

Counts

12 → 122

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im

Outputs
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 re (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 re (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal -2 binary64) re (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 re (-.f64 (/.f64 re (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) re)))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx re re)
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))) re))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 re (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 re (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re))))) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))
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#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))))
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#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))
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#s(approx (- (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal -2 binary64) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (-.f64 (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (-.f64 (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (-.f64 (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) re))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx im im)
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (.f64 #s(literal -1 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 re im) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 re im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 re im)))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re im))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 re im))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64)))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) im))) im))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal -1 binary64) im))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) re) im))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im)) re) im))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	im	@	0	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)
3.0ms	re	@	inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)
3.0ms	im	@	inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)
3.0ms	re	@	0	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)
2.0ms	re	@	-inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)

rewrite2.3s (15.7%)

Memory

14.1MiB live, 1 642.3MiB allocated; 332ms collecting garbage

Counts

12 → 1 638

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im

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

eval329.0ms (2.2%)

Memory: 21.9MiB live, 297.6MiB allocated; 58ms collecting garbage
Compiler: Compiled 24 065 to 8 890 computations (63.1% saved)

prune41.0ms (0.3%)

Memory

-5.4MiB live, 41.6MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1 744	9	1 753
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 745	9	1 754

Accuracy

83.8%

Counts

1 754 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.1%	(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	39.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) #s(literal 2 binary64)) re) re)))
▶	74.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	30.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* re re) (* im im))) re) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
▶	15.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
	50.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))))
	49.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
▶	24.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
▶	49.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))

Compiler

Compiled 258 to 258 computations (0% saved)

series559.0ms (3.8%)

Memory

7.8MiB live, 493.4MiB allocated; 66ms collecting garbage

Counts

31 → 126

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
(sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re)))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))
(*.f64 #s(literal -4 binary64) re)
#s(literal -4 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))
(sqrt.f64 (/.f64 #s(literal 2 binary64) im))
(/.f64 #s(literal 2 binary64) im)
(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))) re) #s(literal 2 binary64)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))) re) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re)
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
(*.f64 im im)
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))

Outputs
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 re (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 re (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal -2 binary64) re (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 re (-.f64 (/.f64 re (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) re)))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx re re)
#s(approx (* -4 re) (*.f64 #s(literal -4 binary64) re))
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (/ (pow im 2) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))) re))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (+ (* re re) (* im im)) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 re (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 re (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re))))) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 re (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re))))) (pow.f64 re #s(literal 3 binary64))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))) (pow.f64 re #s(literal 3 binary64))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal -2 binary64) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (-.f64 (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (-.f64 (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) re))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (-.f64 (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) re))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx im im)
#s(approx (* im (sqrt (/ 2 im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) im))
#s(approx (/ 2 im) (/.f64 #s(literal 2 binary64) im))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (.f64 #s(literal -1 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 re im) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 re im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 re im)))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re im))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 re im))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ 2 im)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64)))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) im))) im))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal -1 binary64) im))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) re) im))))))
#s(approx (- (sqrt (+ (* re re) (* im im))) re) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im)) re) im))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	im	@	-inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) re im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* -4 re) -4 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* im (sqrt (/ 2 im))) (sqrt (/ 2 im)) (/ 2 im) (* (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) (* (- (sqrt (+ (* re re) (* im im))) re) 2) (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 2) re) (pow im 2))
3.0ms	im	@	0	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) re im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* -4 re) -4 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* im (sqrt (/ 2 im))) (sqrt (/ 2 im)) (/ 2 im) (* (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) (* (- (sqrt (+ (* re re) (* im im))) re) 2) (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 2) re) (pow im 2))
3.0ms	im	@	inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) re im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* -4 re) -4 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* im (sqrt (/ 2 im))) (sqrt (/ 2 im)) (/ 2 im) (* (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) (* (- (sqrt (+ (* re re) (* im im))) re) 2) (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 2) re) (pow im 2))
2.0ms	re	@	-inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) re im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* -4 re) -4 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* im (sqrt (/ 2 im))) (sqrt (/ 2 im)) (/ 2 im) (* (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) (* (- (sqrt (+ (* re re) (* im im))) re) 2) (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 2) re) (pow im 2))
2.0ms	re	@	inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 2 (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) re im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* -4 re) -4 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* im (sqrt (/ 2 im))) (sqrt (/ 2 im)) (/ 2 im) (* (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2)) (* (- (sqrt (+ (* re re) (* im im))) re) 2) (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 2) re) (pow im 2))

rewrite1.1s (7.7%)

Memory

23.2MiB live, 973.2MiB allocated; 161ms collecting garbage

Counts

31 → 786

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
(sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re)))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))
(*.f64 #s(literal -4 binary64) re)
#s(literal -4 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))
(sqrt.f64 (/.f64 #s(literal 2 binary64) im))
(/.f64 #s(literal 2 binary64) im)
(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))) re) #s(literal 2 binary64)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))) re) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re)
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
(*.f64 im im)
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))

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

eval100.0ms (0.7%)

Memory: -11.7MiB live, 117.9MiB allocated; 18ms collecting garbage
Compiler: Compiled 8 752 to 3 955 computations (54.8% saved)

prune25.0ms (0.2%)

Memory

0.8MiB live, 103.1MiB allocated; 11ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	773	3	776
Fresh	0	4	4
Picked	1	4	5
Done	0	0	0
Total	774	11	785

Accuracy

86.3%

Counts

785 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.1%	(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	39.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) #s(literal 2 binary64)) re) re)))
✓	74.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	30.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* re re) (* im im))) re) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
▶	15.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 im im) re))))
▶	17.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))
▶	15.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 1 binary64) re) (.f64 im im)))))
▶	50.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))))
▶	49.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
✓	24.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
✓	49.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))

Compiler

Compiled 268 to 268 computations (0% saved)

series460.0ms (3.1%)

Memory

4.8MiB live, 249.6MiB allocated; 72ms collecting garbage

Counts

32 → 89

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 re (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 re (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal -2 binary64) re (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 re (-.f64 (/.f64 re (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (* im (+ 2 (* -2 (/ re im)))) (*.f64 #s(literal 2 binary64) im))
#s(approx (* im (+ 2 (* -2 (/ re im)))) (fma.f64 #s(literal -2 binary64) re (*.f64 #s(literal 2 binary64) im)))
#s(approx (+ 2 (* -2 (/ re im))) #s(literal 2 binary64))
#s(approx (+ 2 (* -2 (/ re im))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))
#s(approx (* -2 (/ re im)) (*.f64 #s(literal -2 binary64) (/.f64 re im)))
#s(approx (/ re im) (/.f64 re im))
#s(approx re re)
#s(approx (* (/ im re) im) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
#s(approx (/ im re) (/.f64 im re))
#s(approx (/ 1 re) (/.f64 #s(literal 1 binary64) re))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))) re))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))) re))
#s(approx (* im (+ 2 (* -2 (/ re im)))) (*.f64 #s(literal -2 binary64) re))
#s(approx (* im (+ 2 (* -2 (/ re im)))) (.f64 re (-.f64 (.f64 #s(literal 2 binary64) (/.f64 im re)) #s(literal 2 binary64))))
#s(approx (+ 2 (* -2 (/ re im))) (.f64 re (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 re (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 re (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re))))) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 re (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re))))) (pow.f64 re #s(literal 3 binary64))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) re)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -4 binary64) re)))))) (pow.f64 re #s(literal 3 binary64))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* im (+ 2 (* -2 (/ re im)))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 im re))))))
#s(approx (+ 2 (* -2 (/ re im))) (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re)))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx im im)
#s(approx (+ 2 (* -2 (/ re im))) (/.f64 (fma.f64 #s(literal -2 binary64) re (*.f64 #s(literal 2 binary64) im)) im))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (.f64 #s(literal -1 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 re im) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 re im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64)))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) im))) im))))))
#s(approx (* im (+ 2 (* -2 (/ re im)))) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) #s(literal 2 binary64)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	re	@	-inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* im (+ 2 (* -2 (/ re im)))) im (+ 2 (* -2 (/ re im))) 2 (* -2 (/ re im)) -2 (/ re im) re (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* 2 im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ im re) im) (/ im re) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) re) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ 1 re) (* im im)) (/ 1 re) 1)
5.0ms	re	@	0	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* im (+ 2 (* -2 (/ re im)))) im (+ 2 (* -2 (/ re im))) 2 (* -2 (/ re im)) -2 (/ re im) re (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* 2 im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ im re) im) (/ im re) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) re) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ 1 re) (* im im)) (/ 1 re) 1)
3.0ms	im	@	-inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* im (+ 2 (* -2 (/ re im)))) im (+ 2 (* -2 (/ re im))) 2 (* -2 (/ re im)) -2 (/ re im) re (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* 2 im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ im re) im) (/ im re) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) re) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ 1 re) (* im im)) (/ 1 re) 1)
3.0ms	im	@	0	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* im (+ 2 (* -2 (/ re im)))) im (+ 2 (* -2 (/ re im))) 2 (* -2 (/ re im)) -2 (/ re im) re (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* 2 im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ im re) im) (/ im re) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) re) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ 1 re) (* im im)) (/ 1 re) 1)
3.0ms	re	@	inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* im (+ 2 (* -2 (/ re im)))) im (+ 2 (* -2 (/ re im))) 2 (* -2 (/ re im)) -2 (/ re im) re (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* 2 im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ im re) im) (/ im re) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) re) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ 1 re) (* im im)) (/ 1 re) 1)

rewrite3.8s (25.8%)

Memory

-21.9MiB live, 2 476.0MiB allocated; 373ms collecting garbage

Counts

32 → 3 232

Calls

Call 1

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

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

eval867.0ms (5.9%)

Memory: 33.5MiB live, 678.4MiB allocated; 184ms collecting garbage
Compiler: Compiled 43 505 to 23 454 computations (46.1% saved)

prune125.0ms (0.8%)

Memory

47.6MiB live, 177.7MiB allocated; 14ms collecting garbage

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	4 377	5	4 382
Fresh	1	1	2
Picked	2	3	5
Done	1	3	4
Total	4 381	12	4 393

Accuracy

86.3%

Counts

4 393 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	30.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* re re) (* im im))) re) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
▶	50.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) im) re #s(literal 1 binary64)) im im))))
▶	29.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (*.f64 im (fma.f64 re #s(literal -2 binary64) im)) (/.f64 #s(literal 1 binary64) im) im))))
✓	15.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 im im) re))))
▶	51.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 (fma.f64 re #s(literal -2 binary64) im) im))))
▶	49.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
▶	15.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) im) im) re) (*.f64 im im)))))
✓	17.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))
✓	15.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 1 binary64) re) (.f64 im im)))))
✓	24.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
✓	49.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))

Compiler

Compiled 290 to 290 computations (0% saved)

series430.0ms (2.9%)

Memory

-37.3MiB live, 431.9MiB allocated; 107ms collecting garbage

Counts

33 → 100

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 re (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 re (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal -2 binary64) re (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 re (-.f64 (/.f64 re (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 re (-.f64 (.f64 re (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (+ (+ (* re -2) im) im) (*.f64 #s(literal 2 binary64) im))
#s(approx (+ (+ (* re -2) im) im) (fma.f64 #s(literal -2 binary64) re (*.f64 #s(literal 2 binary64) im)))
#s(approx (+ (* re -2) im) im)
#s(approx (+ (* re -2) im) (+.f64 im (*.f64 #s(literal -2 binary64) re)))
#s(approx re re)
#s(approx (+ (* (/ -2 im) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ -2 im) re) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))
#s(approx (* (/ (* (/ 1 im) im) re) (* im im)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
#s(approx (/ (* (/ 1 im) im) re) (/.f64 #s(literal 1 binary64) re))
#s(approx (* im (+ (* re -2) im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* im (+ (* re -2) im)) (fma.f64 #s(literal -2 binary64) (*.f64 im re) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
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#s(approx (/ -2 im) (/.f64 #s(literal -2 binary64) im))
#s(approx (/ 1 im) (/.f64 #s(literal 1 binary64) im))
#s(approx (* im (+ (* re -2) im)) (.f64 im (+.f64 im (.f64 #s(literal -2 binary64) re))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (.f64 #s(literal -1 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 re im) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 re im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (+ (* re -2) im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))
#s(approx (* im (+ (* re -2) im)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))
#s(approx (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))))
#s(approx (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (fma.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64)))))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im))))))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) im))) im))))))
#s(approx (+ (+ (* re -2) im) im) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) #s(literal 2 binary64)))))
#s(approx (+ (* re -2) im) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	re	@	0	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (+ (* re -2) im) im) (+ (* re -2) im) re -2 im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (+ (* (/ -2 im) re) 1) im) im) (+ (* (/ -2 im) re) 1) (/ -2 im) 1 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (* (/ 1 im) im) re) (* im im)) (/ (* (/ 1 im) im) re) (* (/ 1 im) im) (/ 1 im) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (* im (+ (* re -2) im)) (/ 1 im)) im) (* im (+ (* re -2) im)))
5.0ms	im	@	-inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (+ (* re -2) im) im) (+ (* re -2) im) re -2 im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (+ (* (/ -2 im) re) 1) im) im) (+ (* (/ -2 im) re) 1) (/ -2 im) 1 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (* (/ 1 im) im) re) (* im im)) (/ (* (/ 1 im) im) re) (* (/ 1 im) im) (/ 1 im) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (* im (+ (* re -2) im)) (/ 1 im)) im) (* im (+ (* re -2) im)))
4.0ms	re	@	-inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (+ (* re -2) im) im) (+ (* re -2) im) re -2 im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (+ (* (/ -2 im) re) 1) im) im) (+ (* (/ -2 im) re) 1) (/ -2 im) 1 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (* (/ 1 im) im) re) (* im im)) (/ (* (/ 1 im) im) re) (* (/ 1 im) im) (/ 1 im) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (* im (+ (* re -2) im)) (/ 1 im)) im) (* im (+ (* re -2) im)))
4.0ms	im	@	inf	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (+ (* re -2) im) im) (+ (* re -2) im) re -2 im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (+ (* (/ -2 im) re) 1) im) im) (+ (* (/ -2 im) re) 1) (/ -2 im) 1 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (* (/ 1 im) im) re) (* im im)) (/ (* (/ 1 im) im) re) (* (/ 1 im) im) (/ 1 im) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (* im (+ (* re -2) im)) (/ 1 im)) im) (* im (+ (* re -2) im)))
3.0ms	im	@	0	((* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (+ (* re -2) im) im) (+ (* re -2) im) re -2 im (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (+ (* (/ -2 im) re) 1) im) im) (+ (* (/ -2 im) re) 1) (/ -2 im) 1 (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (* (/ 1 im) im) re) (* im im)) (/ (* (/ 1 im) im) re) (* (/ 1 im) im) (/ 1 im) (* im im) (* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))) (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+ (* (* im (+ (* re -2) im)) (/ 1 im)) im) (* im (+ (* re -2) im)))

rewrite1.4s (9.6%)

Memory

-24.9MiB live, 395.4MiB allocated; 80ms collecting garbage

Counts

33 → 1 699

Calls

Call 1

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

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

eval498.0ms (3.4%)

Memory: 38.9MiB live, 219.4MiB allocated; 51ms collecting garbage
Compiler: Compiled 30 874 to 13 168 computations (57.3% saved)

prune70.0ms (0.5%)

Memory

-16.0MiB live, 75.8MiB allocated; 9ms collecting garbage

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	2 403	5	2 408
Fresh	1	0	1
Picked	1	4	5
Done	0	6	6
Total	2 405	15	2 420

Accuracy

86.3%

Counts

2 420 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓	50.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) im) re #s(literal 1 binary64)) im im))))
	16.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 re #s(literal -2 binary64) im) (.f64 im im)) im) (.f64 im im)) (/.f64 #s(literal 1 binary64) im) im))))
	19.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (*.f64 im im) im) im))))
	28.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 im im) im))))
✓	15.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 im im) re))))
✓	51.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 (fma.f64 re #s(literal -2 binary64) im) im))))
✓	49.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
✓	15.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) im) im) re) (*.f64 im im)))))
	9.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 (.f64 (.f64 (/.f64 im (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) im))) im) re) (.f64 im im)))))
✓	17.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))
	30.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 2 binary64) im) (.f64 im im)))))
✓	15.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 1 binary64) re) (.f64 im im)))))
✓	24.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
✓	49.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))

Compiler

Compiled 458 to 392 computations (14.4% saved)

regimes74.0ms (0.5%)

Memory

-8.7MiB live, 58.0MiB allocated; 34ms collecting garbage

Counts

23 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 im im) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 (fma.f64 re #s(literal -2 binary64) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 1 binary64) re) (.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 2 binary64) im) (.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 im im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) im) re #s(literal 1 binary64)) im im))))
(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) im) im) re) (*.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (*.f64 im (fma.f64 re #s(literal -2 binary64) im)) (/.f64 #s(literal 1 binary64) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (*.f64 im im) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) #s(literal 2 binary64)) re) re)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* re re) (* im im))) re) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 re #s(literal -2 binary64) im) (.f64 im im)) im) (.f64 im im)) (/.f64 #s(literal 1 binary64) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 (.f64 (.f64 (/.f64 im (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) im))) im) re) (.f64 im im)))))

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))

Outputs

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))

Calls

7 calls:

34.0ms	(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
6.0ms	im
6.0ms	re
6.0ms	(*.f64 im im)

Results

Accuracy	Segments	Branch
74.7%	1	`(*.f64 im im)`
81.1%	2	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
81.1%	2	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
80.7%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
80.7%	2	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
79.7%	2	`re`
74.7%	1	`im`

Compiler

Compiled 42 to 45 computations (-7.1% saved)

regimes58.0ms (0.4%)

Memory

-17.1MiB live, 30.3MiB allocated; 10ms collecting garbage

Counts

18 → 4

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 im im) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 (fma.f64 re #s(literal -2 binary64) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 1 binary64) re) (.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 2 binary64) im) (.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 im im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) im) re #s(literal 1 binary64)) im im))))
(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) im) im) re) (*.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (*.f64 im (fma.f64 re #s(literal -2 binary64) im)) (/.f64 #s(literal 1 binary64) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (*.f64 im im) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) #s(literal 2 binary64)) re) re)))

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

Calls

7 calls:

19.0ms	re
12.0ms	(*.f64 im im)
7.0ms	im
4.0ms	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
4.0ms	(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))

Results

Accuracy	Segments	Branch
61.5%	3	`(*.f64 im im)`
61.5%	3	`im`
71.6%	4	`re`
66.6%	3	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
66.6%	3	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
67.0%	3	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
67.0%	3	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`

Compiler

Compiled 42 to 45 computations (-7.1% saved)

regimes6.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

17 → 4

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 im im) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 (fma.f64 re #s(literal -2 binary64) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 1 binary64) re) (.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 2 binary64) im) (.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 im im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) im) re #s(literal 1 binary64)) im im))))
(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) im) im) re) (*.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (*.f64 im (fma.f64 re #s(literal -2 binary64) im)) (/.f64 #s(literal 1 binary64) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (*.f64 im im) im) im))))

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

Calls

1 calls:

5.0ms

re

Results

Accuracy	Segments	Branch
71.6%	4	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Counts

12 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 im im) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 (fma.f64 re #s(literal -2 binary64) im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 1 binary64) re) (.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (/.f64 #s(literal 2 binary64) im) (.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 im im) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) im) re #s(literal 1 binary64)) im im))))

Outputs

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))

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

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
67.4%	3	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 im im) re))))

Outputs

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (/.f64 im re) im))))

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
67.4%	3	`re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))

Outputs

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))

Calls

7 calls:

2.0ms	im
2.0ms	re
2.0ms	(*.f64 im im)
2.0ms	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
2.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)

Results

Accuracy	Segments	Branch
57.8%	2	`im`
57.8%	2	`(*.f64 im im)`
49.5%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
49.5%	1	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
49.5%	1	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
49.5%	1	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
59.9%	2	`re`

Compiler

Compiled 42 to 45 computations (-7.1% saved)

regimes4.0ms (0%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))

Calls

3 calls:

1.0ms	re
1.0ms	im
1.0ms	(*.f64 im im)

Results

Accuracy	Segments	Branch
49.5%	1	`im`
49.5%	1	`(*.f64 im im)`
49.5%	1	`re`

Compiler

Compiled 4 to 7 computations (-75% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.845126301709464e-297

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch50.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.2298166575777412e+127	1.6785142630562773e+128
14.0ms	-9.729328454089167e-146	-1.1513255206266602e-151
13.0ms	-5.083247575067272e+133	-3.205499290079892e+129

Samples

19.0ms	302×	0	valid
5.0ms	18×	3	valid
5.0ms	25×	2	valid
3.0ms	23×	1	valid

Compiler

Compiled 642 to 684 computations (-6.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-hypot: 10.0ms (46.6% of total)

ival-mult!: 5.0ms (23.3% of total)

ival-sqrt: 4.0ms (18.6% of total)

adjust: 1.0ms (4.7% of total)

ival-sub!: 1.0ms (4.7% of total)

bsearch4.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2298166575777412e+127	1.6785142630562773e+128
1.0ms	-9.729328454089167e-146	-1.1513255206266602e-151
1.0ms	-5.083247575067272e+133	-3.205499290079892e+129

Compiler

Compiled 625 to 667 computations (-6.7% saved)

bsearch16.0ms (0.1%)

Memory

-42.9MiB live, 4.6MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2298166575777412e+127	1.6785142630562773e+128
14.0ms	-4.280880182885027e+86	-1.4191195005835859e+84

Samples

9.0ms

128×

valid

Compiler

Compiled 452 to 476 computations (-5.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-hypot: 4.0ms (66.2% of total)

ival-sqrt: 1.0ms (16.6% of total)

ival-mult!: 1.0ms (16.6% of total)

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

adjust: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory

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

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2298166575777412e+127	1.6785142630562773e+128
13.0ms	-4.7457660728132703e-60	-6.175750078903734e-67

Samples

8.0ms

144×

valid

Compiler

Compiled 453 to 479 computations (-5.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-hypot: 2.0ms (39.9% of total)

ival-sqrt: 1.0ms (19.9% of total)

ival-mult!: 1.0ms (19.9% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.7457660728132703e-60	-6.175750078903734e-67

Compiler

Compiled 279 to 293 computations (-5% saved)

derivations2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 111 to 75 computations (32.4% saved)

preprocess64.0ms (0.4%)

Memory: 22.8MiB live, 68.8MiB allocated; 5ms collecting garbage
Remove: (abs im)
Compiler: Compiled 653 to 509 computations (22.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze118.0ms (0.8%)

sample1.5s (10.2%)

preprocess60.0ms (0.4%)

series585.0ms (4%)

rewrite2.3s (15.7%)

eval329.0ms (2.2%)

prune41.0ms (0.3%)

series559.0ms (3.8%)

rewrite1.1s (7.7%)

eval100.0ms (0.7%)

prune25.0ms (0.2%)

series460.0ms (3.1%)

rewrite3.8s (25.8%)

eval867.0ms (5.9%)

prune125.0ms (0.8%)

series430.0ms (2.9%)

rewrite1.4s (9.6%)

eval498.0ms (3.4%)

prune70.0ms (0.5%)

regimes74.0ms (0.5%)

regimes58.0ms (0.4%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch50.0ms (0.3%)

bsearch4.0ms (0%)

bsearch16.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

derivations2.0ms (0%)

preprocess64.0ms (0.4%)

end0.0ms (0%)

Profiling