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

start0.0ms (0%)

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

analyze239.0ms (5.3%)

Memory

-24.5MiB live, 167.8MiB allocated; 20ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample1.3s (28.4%)

Memory

43.6MiB live, 1 878.7MiB allocated; 488ms collecting garbage

Samples

415.0ms	6 135×	0	valid
271.0ms	830×	2	valid
158.0ms	504×	3	valid
148.0ms	787×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 753.0ms

ival-hypot: 290.0ms (38.5% of total)

ival-mult!: 262.0ms (34.8% of total)

ival-sqrt: 86.0ms (11.4% of total)

adjust: 59.0ms (7.8% of total)

ival-sub!: 56.0ms (7.4% of total)

Bogosity

preprocess53.0ms (1.2%)

Memory

-5.1MiB live, 44.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Symmetry

(abs im)

Compiler

Compiled 30 to 24 computations (20% saved)

series47.0ms (1.1%)

Memory

45.1MiB live, 89.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	661	4133

Stop Event

1×	iter-limit

Counts

12 → 122

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite512.0ms (11.4%)

Memory

-93.4MiB live, 235.4MiB allocated; 886ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
0	20	75
1	81	75
2	297	75
3	976	75
4	2843	75
0	4043	48

Stop Event

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

Counts

12 → 725

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 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(.f64 (pow.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 re (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) (-.f64 re (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 re (sqrt.f64 (fma.f64 im im (.f64 re re)))) (-.f64 re (sqrt.f64 (fma.f64 im im (.f64 re re))))) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 re (sqrt.f64 (fma.f64 im im (.f64 re re)))) (-.f64 re (sqrt.f64 (fma.f64 im im (.f64 re re))))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 re (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 re (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
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(.f64 (.f64 im im) (pow.f64 (neg.f64 im) #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 im #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 (.f64 (.f64 (*.f64 im im) im) im) #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 (*.f64 im im) #s(literal 0 binary64)))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (*.f64 im im) im) im) #s(literal 1/2 binary64))
(pow.f64 (fabs.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 im #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 im im) #s(literal 0 binary64)) (pow.f64 (.f64 im im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im im) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 (fabs.f64 im) (pow.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(/.f64 (.f64 im im) (pow.f64 (.f64 im im) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im))
(fabs.f64 (*.f64 (neg.f64 im) (neg.f64 (fabs.f64 im))))
(fabs.f64 (*.f64 im (neg.f64 (fabs.f64 im))))
(fabs.f64 (*.f64 (neg.f64 im) (fabs.f64 im)))
(fabs.f64 (*.f64 im (fabs.f64 im)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 im)))
(fabs.f64 (*.f64 (fabs.f64 im) (neg.f64 im)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 im)) im))
(fabs.f64 (*.f64 (fabs.f64 im) im))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 im))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
im

eval166.0ms (3.7%)

Memory: 22.3MiB live, 243.0MiB allocated; 53ms collecting garbage
Compiler: Compiled 22 732 to 4 605 computations (79.7% saved)

prune48.0ms (1.1%)

Memory

3.4MiB live, 52.3MiB allocated; 42ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	833	7	840
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	834	7	841

Accuracy

89.2%

Counts

841 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.2%	(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	79.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	15.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
▶	55.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im)))))))
▶	54.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
▶	24.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
▶	54.4%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))

Compiler

Compiled 260 to 204 computations (21.5% saved)

series98.0ms (2.2%)

Memory

5.7MiB live, 95.5MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	690	4281

Stop Event

1×	iter-limit

Counts

31 → 132

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
5.0ms	re	0
5.0ms	im	0
4.0ms	im	-inf
2.0ms	re	inf
2.0ms	re	-inf

rewrite158.0ms (3.5%)

Memory

-3.0MiB live, 269.7MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	243
0	60	243
1	179	243
2	635	243
3	2353	235
0	4103	230

Stop Event

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

Counts

31 → 882

Calls

Call 1

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

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

eval253.0ms (5.6%)

Memory: 17.8MiB live, 296.3MiB allocated; 73ms collecting garbage
Compiler: Compiled 29 353 to 5 177 computations (82.4% saved)

prune48.0ms (1.1%)

Memory

-89.8MiB live, 73.3MiB allocated; 40ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	985	13	998
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	987	18	1 005

Accuracy

89.2%

Counts

1 005 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.2%	(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	56.4%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal -2 binary64) re (+.f64 im im)))) #s(literal 1/2 binary64))
▶	54.7%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))
▶	54.3%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))) (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))))
✓	79.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	34.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (.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))))))
	15.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
	55.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 re im))))))
✓	24.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
	51.0%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))))
	54.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
▶	54.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
	31.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (/.f64 (+.f64 im im) (.f64 im im))))))
✓	54.4%	(.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)))))
▶	31.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (.f64 im im)))))))
	50.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)))))))
	50.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))))
	54.6%	(.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)))))

Compiler

Compiled 823 to 561 computations (31.8% saved)

series75.0ms (1.7%)

Memory

6.8MiB live, 196.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	947	8577

Stop Event

1×	iter-limit

Counts

31 → 166

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite151.0ms (3.4%)

Memory

20.3MiB live, 298.5MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	392
0	60	342
1	211	342
2	769	305
3	2860	305
0	4125	240

Stop Event

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

Counts

31 → 1 238

Calls

Call 1

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

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

eval162.0ms (3.6%)

Memory: -10.9MiB live, 411.2MiB allocated; 74ms collecting garbage
Compiler: Compiled 56 492 to 5 730 computations (89.9% saved)

prune39.0ms (0.9%)

Memory

10.0MiB live, 108.7MiB allocated; 15ms collecting garbage

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	1 108	13	1 121
Fresh	4	6	10
Picked	2	3	5
Done	0	3	3
Total	1 114	25	1 139

Accuracy

89.2%

Counts

1 139 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.6%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal -1 binary64))) #s(literal 1/2 binary64))
	54.3%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))) (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))) #s(literal 1/2 binary64))
	46.2%	(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	42.9%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (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)))) (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))))) #s(literal 1/2 binary64))
	34.4%	(.f64 (sqrt.f64 (sqrt.f64 (.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))))) #s(literal 1/2 binary64))
	15.2%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1/2 binary64))
✓	54.7%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))
	55.6%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re im) im)) im))) #s(literal 1/2 binary64))
▶	56.4%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (-.f64 im re)))) #s(literal 1/2 binary64))
	51.0%	(.f64 (exp.f64 (.f64 (log.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
✓	79.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓	24.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
	15.2%	(.f64 #s(literal 1/2 binary64) #s(approx ( (sqrt (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64))))
	54.1%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) im) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))
	54.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
✓	54.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
	50.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64))) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)))))))
	31.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (/.f64 (+.f64 im im) (.f64 im im))))))
▶	54.4%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im)) (sqrt.f64 im))))))
✓	54.4%	(.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)))))
▶	54.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
✓	31.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (.f64 im im)))))))
	50.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)))))))
	50.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))))
▶	54.6%	(.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)))))

Compiler

Compiled 1 220 to 791 computations (35.2% saved)

series243.0ms (5.4%)

Memory

-15.5MiB live, 513.5MiB allocated; 91ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1821	35373

Stop Event

1×	iter-limit

Counts

42 → 259

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
30.0ms	im	0
22.0ms	re	0
13.0ms	im	-inf
10.0ms	im	inf
9.0ms	re	inf

rewrite138.0ms (3.1%)

Memory

20.6MiB live, 297.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	630
0	81	681
1	263	569
2	834	464
3	2913	464
0	4008	379

Stop Event

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

Counts

42 → 1 032

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))))
(fabs.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(.f64 (neg.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 0 binary64)))
(.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 0 binary64)))
(pow.f64 (.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))
(/.f64 (pow.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 0 binary64)))
(sqrt.f64 (.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))))) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))))
(fabs.f64 (.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))))))
(fabs.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 (-.f64 im re) #s(literal 2 binary64))) #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) (-.f64 im (-.f64 re im)))) (-.f64 im (-.f64 re im)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 re) #s(literal 2 binary64)) (+.f64 im im))) (+.f64 im im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 im re) re) im)) im)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 re (-.f64 im (-.f64 re im)))) (-.f64 im (-.f64 re im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 re im) (-.f64 im re))) (-.f64 im re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (-.f64 im re)) im)) im)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 im re) (-.f64 im re))) (-.f64 im re))
(*.f64 (-.f64 re im) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 re im))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 im re) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 im re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 im re))
(/.f64 (-.f64 (.f64 (+.f64 im im) (+.f64 im im)) (.f64 (.f64 (neg.f64 re) #s(literal 2 binary64)) (.f64 (neg.f64 re) #s(literal 2 binary64)))) (-.f64 (+.f64 im im) (*.f64 (neg.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 im im) (.f64 (-.f64 (-.f64 im re) re) (-.f64 (-.f64 im re) re))) (-.f64 im (-.f64 (-.f64 im re) re)))
(/.f64 (-.f64 (.f64 (-.f64 im (-.f64 re im)) (-.f64 im (-.f64 re im))) (.f64 re re)) (-.f64 (-.f64 im (-.f64 re im)) (neg.f64 re)))
(/.f64 (-.f64 (.f64 (-.f64 im (-.f64 re im)) (-.f64 im (-.f64 re im))) (.f64 re re)) (+.f64 (-.f64 im (-.f64 re im)) re))
(/.f64 (-.f64 (.f64 (-.f64 im re) (-.f64 im re)) (.f64 (-.f64 re im) (-.f64 re im))) (+.f64 (-.f64 im re) (-.f64 re im)))
(/.f64 (-.f64 (.f64 im im) (.f64 (-.f64 re (-.f64 im re)) (-.f64 re (-.f64 im re)))) (+.f64 im (-.f64 re (-.f64 im re))))
(/.f64 (+.f64 (pow.f64 (-.f64 im (-.f64 re im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (fma.f64 (-.f64 im (-.f64 re im)) (-.f64 im (-.f64 re im)) (-.f64 (.f64 re re) (.f64 (-.f64 im (-.f64 re im)) (neg.f64 re)))))
(/.f64 (+.f64 (pow.f64 (+.f64 im im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 im im) (+.f64 im im) (-.f64 (.f64 (.f64 (neg.f64 re) #s(literal 2 binary64)) (.f64 (neg.f64 re) #s(literal 2 binary64))) (.f64 (+.f64 im im) (.f64 (neg.f64 re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 im re) re) #s(literal 3 binary64))) (fma.f64 im im (-.f64 (.f64 (-.f64 (-.f64 im re) re) (-.f64 (-.f64 im re) re)) (.f64 im (-.f64 (-.f64 im re) re)))))
(/.f64 (-.f64 (pow.f64 (-.f64 im (-.f64 re im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 (-.f64 im (-.f64 re im)) (-.f64 im (-.f64 re im)) (fma.f64 re re (*.f64 (-.f64 im (-.f64 re im)) re))))
(/.f64 (-.f64 (pow.f64 (-.f64 im re) #s(literal 3 binary64)) (pow.f64 (-.f64 re im) #s(literal 3 binary64))) (fma.f64 (-.f64 im re) (-.f64 im re) (fma.f64 (-.f64 re im) (-.f64 re im) (*.f64 (-.f64 im re) (-.f64 re im)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (-.f64 re (-.f64 im re)) #s(literal 3 binary64))) (fma.f64 im im (fma.f64 (-.f64 re (-.f64 im re)) (-.f64 re (-.f64 im re)) (*.f64 im (-.f64 re (-.f64 im re))))))
(/.f64 (-.f64 (.f64 (-.f64 im re) (-.f64 im re)) (.f64 (-.f64 im re) (-.f64 im re))) (-.f64 (-.f64 im re) (-.f64 im re)))
(/.f64 (+.f64 (pow.f64 (-.f64 im re) #s(literal 3 binary64)) (pow.f64 (-.f64 im re) #s(literal 3 binary64))) (fma.f64 (-.f64 im re) (-.f64 im re) (-.f64 (.f64 (-.f64 im re) (-.f64 im re)) (.f64 (-.f64 im re) (-.f64 im re)))))
(neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 im re)))
(neg.f64 (*.f64 (-.f64 im re) #s(literal -2 binary64)))
(neg.f64 (*.f64 (-.f64 re im) #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 im im))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 im im))) (neg.f64 (sqrt.f64 (+.f64 im im))) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 (neg.f64 re) #s(literal 2 binary64) (+.f64 im im))
(fma.f64 #s(literal 1 binary64) (+.f64 im im) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 im re) (-.f64 im re))
(fma.f64 (sqrt.f64 (+.f64 im im)) (sqrt.f64 (+.f64 im im)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 (+.f64 im im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 (-.f64 im re) #s(literal 1 binary64) (-.f64 im re))
(fma.f64 im #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 re)) (+.f64 im im))
(fma.f64 #s(literal 2 binary64) (neg.f64 re) (+.f64 im im))
(fma.f64 #s(literal 2 binary64) im (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (-.f64 (-.f64 im re) re) (neg.f64 im))
(-.f64 (-.f64 im (-.f64 re im)) re)
(-.f64 (+.f64 im im) (*.f64 re #s(literal 2 binary64)))
(-.f64 (+.f64 im im) (*.f64 #s(literal -2 binary64) (neg.f64 re)))
(-.f64 (+.f64 im im) (neg.f64 (*.f64 (neg.f64 re) #s(literal 2 binary64))))
(-.f64 (-.f64 im re) (*.f64 (-.f64 re im) #s(literal 1 binary64)))
(-.f64 (-.f64 im re) (*.f64 #s(literal -1 binary64) (-.f64 im re)))
(-.f64 (-.f64 im re) (-.f64 re im))
(-.f64 im (-.f64 (neg.f64 im) (*.f64 (neg.f64 re) #s(literal 2 binary64))))
(-.f64 im (-.f64 re (-.f64 im re)))
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(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))))
(pow.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)) #s(literal -1/4 binary64)))
(sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))))
(fabs.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))))
(exp.f64 (.f64 (log.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))) #s(literal 1/2 binary64)))

eval191.0ms (4.3%)

Memory: 14.4MiB live, 483.6MiB allocated; 102ms collecting garbage
Compiler: Compiled 71 811 to 7 056 computations (90.2% saved)

prune37.0ms (0.8%)

Memory

23.1MiB live, 115.0MiB allocated; 8ms collecting garbage

Pruning

31 alts after pruning (23 fresh and 8 done)

	Pruned	Kept	Total
New	1 109	10	1 119
Fresh	1	13	14
Picked	2	3	5
Done	1	5	6
Total	1 113	31	1 144

Accuracy

89.2%

Counts

1 144 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))) (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))) #s(literal 1/2 binary64))
	46.2%	(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	40.4%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 3/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))))) #s(literal 1/2 binary64))
	34.4%	(.f64 (sqrt.f64 (sqrt.f64 (.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))))) #s(literal 1/2 binary64))
	15.2%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1/2 binary64))
✓	54.7%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))
	55.6%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re im) im)) im))) #s(literal 1/2 binary64))
✓	56.4%	(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (-.f64 im re)))) #s(literal 1/2 binary64))
	51.0%	(.f64 (exp.f64 (.f64 (log.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
	54.6%	(.f64 #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (+.f64 im im)) im)) im)) #s(literal 1/2 binary64))
✓	79.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓	24.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -4 binary64) re))))
	15.2%	(.f64 #s(literal 1/2 binary64) #s(approx ( (sqrt (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64))))
	54.1%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) im) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))
	54.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im))) (sqrt.f64 (sqrt.f64 im))))))
	54.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im)))))))
	54.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
	50.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64))) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)))))))
	54.4%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 4 binary64)) (sqrt.f64 im)) (sqrt.f64 im))))))
	31.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (/.f64 (+.f64 im im) (.f64 im im))))))
✓	54.4%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im)) (sqrt.f64 im))))))
✓	54.4%	(.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)))))
✓	54.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
✓	31.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (.f64 im im)))))))
	50.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)))))))
	40.4%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 #s(approx (/ (sqrt (/ 4 im)) (sqrt im)) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) im)) (*.f64 im (sqrt.f64 im))))))))
	50.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))))
	54.5%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 #s(literal 1 binary64) (/.f64 im (sqrt.f64 (+.f64 im im))))))))
	54.5%	(.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)))))))
	42.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) #s(approx (* im (sqrt (/ (sqrt (/ 4 im)) (sqrt im)))) (sqrt.f64 (/.f64 (.f64 im (sqrt.f64 (.f64 #s(literal 4 binary64) im))) (sqrt.f64 im))))))
	54.5%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) #s(approx (* im (sqrt (* (sqrt (/ 4 im)) (sqrt (/ 1 im))))) (sqrt.f64 (.f64 (sqrt.f64 im) (sqrt.f64 (.f64 #s(literal 4 binary64) im)))))))

Compiler

Compiled 861 to 599 computations (30.4% saved)

regimes328.0ms (7.3%)

Memory

-5.8MiB live, 668.5MiB allocated; 152ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

9 → 2

25 → 3

32 → 4

33 → 1

44 → 2

Calls

Call 1

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

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

Call 2

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

Outputs

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

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

Call 3

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

Outputs

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

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

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (*.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))))))

Call 4

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

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

Call 5

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

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

Call 6

Inputs
(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #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 -4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (-.f64 im re)))) #s(literal 1/2 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)))))
(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (fma.f64 #s(literal -2 binary64) re (+.f64 im im)))) #s(literal 1/2 binary64))
(.f64 #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (+.f64 im im)) im)) im)) #s(literal 1/2 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)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) #s(approx (* im (sqrt (* (sqrt (/ 4 im)) (sqrt (/ 1 im))))) (sqrt.f64 (.f64 (sqrt.f64 im) (sqrt.f64 (.f64 #s(literal 4 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (.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 (sqrt.f64 (sqrt.f64 (.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))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (.f64 im im)))))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 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 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 (+.f64 im im)))))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (/.f64 (+.f64 im im) (.f64 im im))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 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 #s(literal 1 binary64) (/.f64 im (sqrt.f64 (+.f64 im im))))))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) #s(approx (* im (sqrt (/ (sqrt (/ 4 im)) (sqrt im)))) (sqrt.f64 (/.f64 (.f64 im (sqrt.f64 (.f64 #s(literal 4 binary64) im))) (sqrt.f64 im))))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im)) (sqrt.f64 im))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))) (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))) (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))))))
(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) re im) im)) im))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 re im))))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 4 binary64)) (sqrt.f64 im)) (sqrt.f64 im))))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im))) (sqrt.f64 (sqrt.f64 im))))))
(.f64 (sqrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 #s(approx (/ (sqrt (/ 4 im)) (sqrt im)) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) im)) (*.f64 im (sqrt.f64 im))))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) im) (sqrt.f64 (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 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 (log.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (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)))) (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (sqrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 #s(approx ( 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 3/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 2 (- (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im)))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx ( (sqrt (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (- (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64))) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)))))))

Outputs

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

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

Calls

34 calls:

40.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
25.0ms	(*.f64 im im)
23.0ms	im
22.0ms	re
16.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))

Results

Accuracy	Segments	Branch
54.7%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
54.7%	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))))`
54.7%	1	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
54.7%	1	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
54.7%	1	`(*.f64 im im)`
54.7%	1	`im`
54.7%	1	`re`
64.8%	2	`re`
56.4%	1	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
56.4%	1	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
56.4%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
56.4%	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))))`
63.4%	2	`(*.f64 im im)`
63.4%	2	`im`
66.6%	3	`re`
69.9%	3	`(*.f64 im im)`
69.9%	3	`im`
69.6%	3	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
69.6%	3	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
71.7%	4	`re`
68.1%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
68.1%	2	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
79.3%	1	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
79.3%	1	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
79.3%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
79.3%	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))))`
79.3%	1	`re`
79.3%	1	`(*.f64 im im)`
82.8%	2	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
82.8%	2	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
83.8%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
83.8%	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))))`
84.4%	2	`re`
79.3%	1	`im`

Compiler

Compiled 1 498 to 482 computations (67.8% saved)

bsearch33.0ms (0.7%)

Memory

6.5MiB live, 54.8MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.0514004149879956e+95	9.27781474352847e+110

Samples

8.0ms	45×	2	valid
7.0ms	26×	3	valid
6.0ms	35×	1	valid
3.0ms	54×	0	valid

Compiler

Compiled 328 to 284 computations (13.4% saved)

Precisions

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

ival-hypot: 8.0ms (41.8% of total)

adjust: 5.0ms (26.1% of total)

ival-mult!: 3.0ms (15.7% of total)

ival-sqrt: 2.0ms (10.5% of total)

ival-sub!: 1.0ms (5.2% of total)

bsearch61.0ms (1.4%)

Memory

-10.6MiB live, 131.5MiB allocated; 12ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
29.0ms	5.363055464630689e+157	4.944697652133549e+160
14.0ms	-4.225236015742234e-120	-3.016647759954511e-124
15.0ms	-7.547314605180255e+133	-3.82491909937757e+129

Samples

19.0ms	288×	0	valid
10.0ms	31×	2	valid
7.0ms	29×	3	valid
4.0ms	36×	1	valid

Compiler

Compiled 994 to 710 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-hypot: 11.0ms (36% of total)

ival-sqrt: 9.0ms (29.4% of total)

ival-mult!: 7.0ms (22.9% of total)

adjust: 2.0ms (6.5% of total)

ival-sub!: 2.0ms (6.5% of total)

bsearch20.0ms (0.4%)

Memory

-2.4MiB live, 44.6MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.363055464630689e+157	4.944697652133549e+160
17.0ms	-27508.768856631355	-3.9989441561757224e-14

Samples

9.0ms

160×

valid

Compiler

Compiled 846 to 580 computations (31.4% saved)

Precisions

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

ival-hypot: 3.0ms (50.1% of total)

ival-sqrt: 1.0ms (16.7% of total)

ival-mult!: 1.0ms (16.7% of total)

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

adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-27508.768856631355	-3.9989441561757224e-14

Compiler

Compiled 398 to 324 computations (18.6% saved)

derivations63.0ms (1.4%)

Memory

-3.9MiB live, 90.1MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 290 to 57 computations (80.3% saved)

preprocess49.0ms (1.1%)

Memory: -11.3MiB live, 131.9MiB allocated; 9ms collecting garbage
Remove: (abs im)
Compiler: Compiled 885 to 345 computations (61% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze239.0ms (5.3%)

sample1.3s (28.4%)

preprocess53.0ms (1.2%)

series47.0ms (1.1%)

rewrite512.0ms (11.4%)

eval166.0ms (3.7%)

prune48.0ms (1.1%)

series98.0ms (2.2%)

rewrite158.0ms (3.5%)

eval253.0ms (5.6%)

prune48.0ms (1.1%)

series75.0ms (1.7%)

rewrite151.0ms (3.4%)

eval162.0ms (3.6%)

prune39.0ms (0.9%)

series243.0ms (5.4%)

rewrite138.0ms (3.1%)

eval191.0ms (4.3%)

prune37.0ms (0.8%)

regimes328.0ms (7.3%)

bsearch33.0ms (0.7%)

bsearch61.0ms (1.4%)

bsearch20.0ms (0.4%)

bsearch2.0ms (0%)

derivations63.0ms (1.4%)

preprocess49.0ms (1.1%)

end0.0ms (0%)

Profiling