Metrics for math.sqrt on complex, real part

start0.0ms (0%)

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

analyze112.0ms (2.5%)

Memory

-6.3MiB live, 135.8MiB allocated; 45ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	6
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	7
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	8
71.9%	71.8%	28.1%	0.1%	0%	0%	0%	9
71.9%	71.8%	28.1%	0.1%	0%	0%	0%	10
73.4%	73.4%	26.5%	0.1%	0%	0%	0%	11
73.4%	73.4%	26.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.5s (32.5%)

Memory

27.8MiB live, 2 083.8MiB allocated; 668ms collecting garbage

Samples

572.0ms	6 267×	0	valid
240.0ms	453×	3	valid
171.0ms	791×	2	valid
123.0ms	745×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 851.0ms

ival-hypot: 442.0ms (51.9% of total)

ival-sqrt: 146.0ms (17.2% of total)

ival-mult!: 142.0ms (16.7% of total)

ival-add!: 67.0ms (7.9% of total)

adjust: 55.0ms (6.5% of total)

Bogosity

preprocess119.0ms (2.6%)

Memory

-37.2MiB live, 54.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	90
1	149	90
2	390	90
3	893	90
4	2667	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.6%	(.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 30 to 24 computations (20% saved)

series274.0ms (6%)

Memory

38.0MiB live, 221.9MiB allocated; 78ms 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) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 re (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 (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))))) (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 (fma.f64 re (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.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 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 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 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 (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))))) (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 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.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 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #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 (-.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 #s(literal 2 binary64) (/.f64 re (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 #s(literal 2 binary64) (.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(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 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 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 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 re (+.f64 #s(literal 1 binary64) (.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(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) (.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.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 re (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 4 binary64) 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 re (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 5 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 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) re)) #s(literal 3 binary64)))) (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 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.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 re (+.f64 (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 5 binary64)) (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 re (+.f64 (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 5 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 6 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)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 4 binary64) re))))))))))
#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 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 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 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 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 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 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 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) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
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#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
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#s(approx im im)
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#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 im (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 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 1/4 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)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 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 -1/4 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)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (.f64 #s(literal 1/2 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 (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 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 1/2 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)))) (/.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 -1/2 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)))) (fma.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)))) (/.f64 re (.f64 (pow.f64 im #s(literal 2 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 -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 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 (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im))))
#s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (fma.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 #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 1/2 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) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 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 -1/4 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)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 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) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 1/2 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 (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 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 -1/2 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)))) (/.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 (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))) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 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 #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 -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (.f64 #s(literal 2 binary64) 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 -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) (.f64 #s(literal 2 binary64) re)) 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 #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 re (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) 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 re (.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))) 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
6.0ms	im	0
6.0ms	im	inf
6.0ms	re	inf
5.0ms	re	0
5.0ms	re	-inf

rewrite200.0ms (4.4%)

Memory

-5.6MiB live, 136.0MiB allocated; 81ms collecting garbage

Counts

12 → 59

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

eval22.0ms (0.5%)

Memory: -13.4MiB live, 32.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 916 to 1 095 computations (81.5% saved)

prune9.0ms (0.2%)

Memory

14.9MiB live, 15.0MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	162	12	174
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	12	175

Accuracy

87.1%

Counts

175 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.6%	(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	77.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 re im) re))))
▶	5.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
	53.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
▶	25.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
	52.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
	14.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	4.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #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))))))))
▶	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
	25.4%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
▶	52.0%	(.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)))))
	0.0%	#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)))))

Compiler

Compiled 482 to 378 computations (21.6% saved)

series228.0ms (5%)

Memory

-30.8MiB live, 222.1MiB allocated; 67ms collecting garbage

Counts

31 → 121

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 -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)
#s(literal -2 binary64)
(.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 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ ( re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re)))
(.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ ( re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))
(+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
(*.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) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 re (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 (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))))) (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 (fma.f64 re (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.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 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 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 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 (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))))) (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 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.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 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #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 (-.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 #s(literal 2 binary64) (/.f64 re (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 #s(literal 2 binary64) (.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(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 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 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 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 re (+.f64 #s(literal 1 binary64) (.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(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 (* -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) (.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.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 re (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 4 binary64) 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 re (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 5 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 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) re)) #s(literal 3 binary64)))) (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 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.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 re (+.f64 (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 5 binary64)) (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 re (+.f64 (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 5 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 6 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)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 4 binary64) re))))))))))
#s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.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 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 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 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 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 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 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 (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 2 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))) (pow.f64 re #s(literal 3 binary64))))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 2 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))) (pow.f64 re #s(literal 3 binary64))))))
#s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
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#s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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 #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 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 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (.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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (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 re (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)) (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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) (.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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (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 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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (.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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (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 re (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)) (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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) (.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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
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#s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal 2 binary64) (+.f64 re (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 1/8 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 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 re (+.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))) re) (+.f64 re (+.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))) re) (+.f64 re (+.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 (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 (* -2 im) (*.f64 #s(literal -2 binary64) 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)))))
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#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
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#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 -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 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 (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im))))
#s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (fma.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 #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 1/2 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 (* 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) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 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 -1/4 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)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 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) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 1/2 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 (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 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 -1/2 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)))) (/.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 (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))) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.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 -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (.f64 #s(literal 2 binary64) 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 -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) (.f64 #s(literal 2 binary64) re)) 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 #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 re (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) 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 re (.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))) 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
2.0ms	im	0
2.0ms	im	-inf
1.0ms	im	inf
1.0ms	re	-inf
1.0ms	re	inf

rewrite155.0ms (3.4%)

Memory

1.7MiB live, 138.8MiB allocated; 21ms collecting garbage

Counts

31 → 73

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

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

eval20.0ms (0.4%)

Memory: 37.2MiB live, 37.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 958 to 1 037 computations (82.6% saved)

prune14.0ms (0.3%)

Memory

-31.3MiB live, 19.6MiB allocated; 7ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	0	7	7
Picked	1	4	5
Done	0	0	0
Total	171	13	184

Accuracy

87.1%

Counts

184 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.6%	(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	77.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 re im) re))))
	5.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re))))
▶	53.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
✓	25.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
▶	52.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
	14.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	4.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #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))))))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
▶	25.4%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
✓	52.0%	(.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)))))
▶	52.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) im)) im)))))
	0.0%	#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)))))

Compiler

Compiled 468 to 362 computations (22.6% saved)

series262.0ms (5.8%)

Memory

35.1MiB live, 257.7MiB allocated; 47ms collecting garbage

Counts

35 → 140

Calls

Call 1

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

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) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 re (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 (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))))) (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 (fma.f64 re (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.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 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 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 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 (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))))) (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 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.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 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #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 (-.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 #s(literal 2 binary64) (/.f64 re (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 #s(literal 2 binary64) (.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(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 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 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 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 re (+.f64 #s(literal 1 binary64) (.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(approx (* im (+ 1 (/ re im))) im)
#s(approx (* im (+ 1 (/ re im))) (+.f64 im re))
#s(approx (+ 1 (/ re im)) #s(literal 1 binary64))
#s(approx (+ 1 (/ re im)) (+.f64 #s(literal 1 binary64) (/.f64 re im)))
#s(approx (/ re im) (/.f64 re im))
#s(approx re re)
#s(approx (* re (sqrt (/ 4 re))) (sqrt.f64 (*.f64 #s(literal 4 binary64) re)))
#s(approx (sqrt (/ 4 re)) (/.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) re)) re))
#s(approx (/ 4 re) (/.f64 #s(literal 4 binary64) re))
#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 (* 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 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 re (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 4 binary64) 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 re (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 5 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 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) re)) #s(literal 3 binary64)))) (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 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.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 re (+.f64 (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 5 binary64)) (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 re (+.f64 (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 5 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 6 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)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 4 binary64) re))))))))))
#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 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 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 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 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 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 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 (* im (+ 1 (/ re im))) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 im re))))
#s(approx (+ 1 (/ re im)) (*.f64 re (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) re))))
#s(approx (sqrt (/ 4 re)) (sqrt.f64 (/.f64 #s(literal 4 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) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))))
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#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 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 1/2 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)))) (/.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 -1/2 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)))) (fma.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)))) (/.f64 re (.f64 (pow.f64 im #s(literal 2 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 -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 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 (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im))))
#s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (fma.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 #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 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 re im))))))
#s(approx (sqrt (/ 2 im)) (sqrt.f64 (/.f64 #s(literal 2 binary64) 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) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 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 -1/4 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)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 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) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 1/2 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 (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 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 -1/2 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)))) (/.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 (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))) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 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 #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 -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (.f64 #s(literal 2 binary64) 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 -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) (.f64 #s(literal 2 binary64) re)) 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 #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 re (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) 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 re (.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))) im))))))
#s(approx (* im (+ 1 (/ re im))) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) #s(literal 1 binary64)))))
#s(approx (/ (sqrt (* 2 im)) im) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
#s(approx (sqrt (* 2 im)) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) 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
4.0ms	re	inf
4.0ms	re	-inf
3.0ms	im	-inf
2.0ms	im	0
2.0ms	re	0

rewrite408.0ms (9%)

Memory

15.6MiB live, 157.6MiB allocated; 117ms collecting garbage

Counts

35 → 583

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ re (sqrt (+ (* re re) (* im im)))) (+.f64 im re)))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ re (sqrt (+ ( re re) (* im im)))) (+.f64 im re))))
(.f64 #s(literal 2 binary64) #s(approx (+ re (sqrt (+ ( re re) (* im im)))) (+.f64 im re)))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(fabs.f64 #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) im) im #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 im #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 im (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))
#s(approx (+ re (sqrt (+ (* re re) (* im im)))) (+.f64 im re))
(*.f64 (+.f64 im re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 im re))
(*.f64 im (-.f64 (/.f64 re im) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 im re) im) (/.f64 #s(literal 1 binary64) im))
(*.f64 (-.f64 (/.f64 re im) #s(literal -1 binary64)) im)
(*.f64 (-.f64 (/.f64 re im) #s(literal -1 binary64)) (/.f64 im #s(literal 1 binary64)))
(*.f64 (/.f64 im #s(literal 1 binary64)) (-.f64 (/.f64 re im) #s(literal -1 binary64)))
(+.f64 im re)
(+.f64 re im)
(-.f64 re (neg.f64 im))
(-.f64 im (neg.f64 re))
(/.f64 (+.f64 im re) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 im re) im) im)
(/.f64 (*.f64 (-.f64 (neg.f64 im) re) im) (neg.f64 im))
(/.f64 (*.f64 im (-.f64 (neg.f64 im) re)) (neg.f64 im))
(/.f64 (fma.f64 (neg.f64 im) im (neg.f64 (*.f64 im re))) (neg.f64 im))
(/.f64 (/.f64 (*.f64 (+.f64 im re) im) #s(literal 1 binary64)) im)
(/.f64 (neg.f64 (*.f64 (+.f64 im re) im)) (neg.f64 im))
(fma.f64 re #s(literal 1 binary64) im)
(fma.f64 im #s(literal 1 binary64) re)
(fma.f64 #s(literal 1 binary64) re im)
(fma.f64 #s(literal 1 binary64) im re)
(fma.f64 (*.f64 im re) (/.f64 #s(literal 1 binary64) im) im)
(fma.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 re im) im)
(fma.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 im re) im)
(fma.f64 (/.f64 re im) (/.f64 im #s(literal 1 binary64)) im)
(fma.f64 (/.f64 re im) im im)
(fma.f64 im (/.f64 re im) im)
(fma.f64 (neg.f64 (*.f64 im re)) (/.f64 #s(literal -1 binary64) im) im)
(fma.f64 (neg.f64 re) (/.f64 im (neg.f64 im)) im)
(fma.f64 (neg.f64 re) (*.f64 (/.f64 #s(literal -1 binary64) im) im) im)
(neg.f64 (-.f64 (neg.f64 im) re))
im
(*.f64 im #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) im)
(+.f64 im (*.f64 #s(literal 0 binary64) im))
(+.f64 im (*.f64 im #s(literal 0 binary64)))
(/.f64 (+.f64 im im) #s(literal 2 binary64))
(fma.f64 im #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) im))
(fma.f64 im #s(literal 1 binary64) (*.f64 im #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) im (*.f64 #s(literal 0 binary64) im))
(fma.f64 #s(literal 1 binary64) im (*.f64 im #s(literal 0 binary64)))
(neg.f64 (neg.f64 im))
(*.f64 (+.f64 im re) (/.f64 #s(literal 1 binary64) im))
(*.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 im re))
(*.f64 (-.f64 (/.f64 re im) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (neg.f64 im) re) (/.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 re im) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 re im) #s(literal -1 binary64)) im) (/.f64 im #s(literal 1 binary64)))
(.f64 im (.f64 (-.f64 (/.f64 re im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 re im) #s(literal -1 binary64)) im))
(*.f64 im (/.f64 (-.f64 (/.f64 re im) #s(literal -1 binary64)) im))
(+.f64 #s(literal 1 binary64) (/.f64 re im))
(+.f64 (/.f64 re im) #s(literal 1 binary64))
(+.f64 (-.f64 (/.f64 re im) #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 re im)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 re im))))
(-.f64 (/.f64 re im) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 re im)))
(/.f64 (+.f64 im re) im)
(/.f64 (.f64 (+.f64 im re) im) (.f64 im im))
(/.f64 (-.f64 (/.f64 re im) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 im re) #s(literal -1 binary64)) (neg.f64 im))
(/.f64 (-.f64 (neg.f64 im) re) (neg.f64 im))
(/.f64 (fma.f64 re #s(literal 2 binary64) (+.f64 im im)) (+.f64 im im))
(/.f64 (fma.f64 im #s(literal 2 binary64) (+.f64 re re)) (+.f64 im im))
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(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) re)
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 re (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 im (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 (fabs.f64 re))))
(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 (.f64 (neg.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(fabs.f64 (.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))) (neg.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))))
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))
(+.f64 (.f64 im im) (.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 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 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (neg.f64 re) (neg.f64 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 #s(literal 1 binary64) (.f64 im im) (.f64 re re))
(fma.f64 im im (*.f64 re re))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 im im))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 re re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 im im (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 #s(literal 1 binary64) (.f64 im im) (.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (.f64 im im) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(neg.f64 (neg.f64 (fma.f64 re re (*.f64 im im))))
(neg.f64 (fma.f64 (neg.f64 re) re (neg.f64 (*.f64 im im))))
(neg.f64 (-.f64 (neg.f64 (.f64 re re)) (.f64 im im)))
(pow.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) #s(literal 2 binary64))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 re re (.f64 im im)) (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (fma.f64 re re (.f64 im im)) (fma.f64 re re (*.f64 im im))))
(*.f64 im im)
(*.f64 (neg.f64 im) (neg.f64 im))
(.f64 (.f64 im im) #s(literal 1 binary64))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(.f64 #s(literal 1 binary64) (.f64 im im))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im))
(*.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 im))))
(fabs.f64 (*.f64 im im))
(fabs.f64 (neg.f64 (*.f64 im im)))
(neg.f64 (neg.f64 (*.f64 im im)))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 im im) (*.f64 im im)))

eval139.0ms (3.1%)

Memory: -10.9MiB live, 126.2MiB allocated; 24ms collecting garbage
Compiler: Compiled 24 330 to 5 057 computations (79.2% saved)

prune39.0ms (0.9%)

Memory

-22.8MiB live, 30.9MiB allocated; 10ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	884	10	894
Fresh	0	4	4
Picked	3	2	5
Done	1	3	4
Total	888	19	907

Accuracy

87.1%

Counts

907 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.8%	(.f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 re im) im (sqrt.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	37.3%	(.f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) im) (.f64 im re) (sqrt.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	39.6%	(.f64 (sqrt.f64 (.f64 (fma.f64 (neg.f64 re) (.f64 (/.f64 #s(literal -1 binary64) im) im) (sqrt.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	77.9%	(.f64 (sqrt.f64 (.f64 (+.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	39.6%	(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	39.8%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶	5.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re))))
	54.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 re im)))))
▶	52.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
✓	25.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
	14.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	4.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #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))))))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
✓	25.4%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
✓	52.0%	(.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)))))
	52.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (+.f64 im im)) im)))))
	52.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 im im))) im)))))
▶	52.1%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im #s(approx (sqrt (/ 2 im)) (.f64 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 (+.f64 im im)))))))
	0.0%	#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)))))

Compiler

Compiled 698 to 525 computations (24.8% saved)

series275.0ms (6.1%)

Memory

47.0MiB live, 184.7MiB allocated; 30ms collecting garbage

Counts

35 → 129

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite303.0ms (6.7%)

Memory

-10.0MiB live, 353.2MiB allocated; 65ms collecting garbage

Counts

35 → 698

Calls

Call 1

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

eval179.0ms (3.9%)

Memory: 17.9MiB live, 126.1MiB allocated; 99ms collecting garbage
Compiler: Compiled 20 948 to 4 218 computations (79.9% saved)

prune29.0ms (0.6%)

Memory

-22.4MiB live, 22.5MiB allocated; 15ms collecting garbage

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	749	5	754
Fresh	4	5	9
Picked	0	5	5
Done	0	5	5
Total	753	20	773

Accuracy

87.1%

Counts

773 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(.f64 (sqrt.f64 (fma.f64 (.f64 im re) (/.f64 #s(literal 2 binary64) im) (.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	38.8%	(.f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 re im) im (sqrt.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	39.6%	(.f64 (sqrt.f64 (.f64 (fma.f64 (neg.f64 re) (.f64 (/.f64 #s(literal -1 binary64) im) im) (sqrt.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	77.9%	(.f64 (sqrt.f64 (.f64 (+.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	39.6%	(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	39.8%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	14.2%	(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1/2 binary64))
	4.1%	(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))) #s(literal 1/2 binary64))
✓	5.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re))))
	54.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 re im)))))
✓	52.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
✓	25.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
✓	25.4%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
✓	52.0%	(.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)))))
	52.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (+.f64 im im)) im)))))
	52.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 im im))) im)))))
✓	52.1%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im #s(approx (sqrt (/ 2 im)) (.f64 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 (+.f64 im im)))))))
	52.1%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im #s(approx (sqrt (/ 2 im)) (.f64 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 (fabs.f64 (+.f64 im im))))))))
	0.0%	#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))

Compiler

Compiled 429 to 322 computations (24.9% saved)

regimes194.0ms (4.3%)

Memory

10.8MiB live, 158.2MiB allocated; 39ms collecting garbage

Accuracy

Total -33.5b remaining (-34%)

Threshold costs -33.5b (-34%)

Counts

3 → 1

9 → 2

22 → 3

25 → 1

30 → 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 -2 binary64) im))))

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

Call 2

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

Outputs

(*.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))))

Call 3

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

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

Outputs

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

Call 4

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

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

Call 5

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

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

Outputs

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

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

Calls

27 calls:

27.0ms	(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
26.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
9.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
9.0ms	(*.f64 im im)
8.0ms	im

Results

Accuracy	Segments	Branch
52.3%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
52.3%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
52.3%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
52.3%	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))))`
52.3%	1	`(*.f64 im im)`
52.3%	1	`im`
52.3%	1	`re`
65.8%	2	`re`
67.1%	3	`(*.f64 im im)`
67.1%	3	`im`
65.6%	3	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
65.6%	3	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
67.4%	3	`re`
64.2%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
64.2%	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))))`
77.9%	1	`re`
77.9%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
77.9%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
77.9%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
77.9%	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))))`
77.9%	1	`(*.f64 im im)`
81.6%	2	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
81.6%	2	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
82.8%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
82.8%	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))))`
81.3%	2	`re`
77.9%	1	`im`

Compiler

Compiled 854 to 350 computations (59% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.612325228014803e-152

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch34.0ms (0.8%)

Memory

-14.9MiB live, 31.4MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.0441615667313283e-58	2.4198691456068053e-58
24.0ms	-5.302627763698688e+193	-6.26654912422076e+191

Samples

11.0ms	33×	3	valid
6.0ms	112×	0	valid
4.0ms	23×	2	valid
3.0ms	24×	1	valid

Compiler

Compiled 467 to 379 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-hypot: 8.0ms (42.3% of total)

ival-add!: 3.0ms (15.9% of total)

ival-mult!: 3.0ms (15.9% of total)

adjust: 2.0ms (10.6% of total)

ival-sqrt: 2.0ms (10.6% of total)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0441615667313283e-58	2.4198691456068053e-58

Compiler

Compiled 208 to 169 computations (18.8% saved)

derivations1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 186 to 56 computations (69.9% saved)

preprocess48.0ms (1.1%)

Memory: 23.3MiB live, 67.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 612 to 311 computations (49.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze112.0ms (2.5%)

sample1.5s (32.5%)

preprocess119.0ms (2.6%)

series274.0ms (6%)

rewrite200.0ms (4.4%)

eval22.0ms (0.5%)

prune9.0ms (0.2%)

series228.0ms (5%)

rewrite155.0ms (3.4%)

eval20.0ms (0.4%)

prune14.0ms (0.3%)

series262.0ms (5.8%)

rewrite408.0ms (9%)

eval139.0ms (3.1%)

prune39.0ms (0.9%)

series275.0ms (6.1%)

rewrite303.0ms (6.7%)

eval179.0ms (3.9%)

prune29.0ms (0.6%)

regimes194.0ms (4.3%)

bsearch0.0ms (0%)

bsearch34.0ms (0.8%)

bsearch1.0ms (0%)

derivations1.0ms (0%)

preprocess48.0ms (1.1%)

end0.0ms (0%)

Profiling