Metrics for math.sqrt on complex, real part

start0.0ms (0.0%)

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

analyze102.0ms (2.5%)

Memory

41.0MiB live, 226.8MiB allocated; 49ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	2
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	3
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	4
62.5%	62.4%	37.5%	0.1%	0.0%	0.0%	0.0%	5
62.5%	62.4%	37.5%	0.1%	0.0%	0.0%	0.0%	6
68.8%	68.7%	31.2%	0.1%	0.0%	0.0%	0.0%	7
68.8%	68.7%	31.2%	0.1%	0.0%	0.0%	0.0%	8
71.9%	71.8%	28.1%	0.1%	0.0%	0.0%	0.0%	9
71.9%	71.8%	28.1%	0.1%	0.0%	0.0%	0.0%	10
73.4%	73.4%	26.5%	0.1%	0.0%	0.0%	0.0%	11
73.4%	73.4%	26.5%	0.1%	0.0%	0.0%	0.0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.6s (37.4%)

Memory

-11.7MiB live, 2 052.7MiB allocated; 1.2s collecting garbage

Samples

783.0ms	6 223×	0	valid
247.0ms	763×	2	valid
157.0ms	494×	3	valid
111.0ms	776×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sqrt: 441.0ms (42.2% of total)

ival-hypot: 388.0ms (37.1% of total)

ival-mult!: 119.0ms (11.4% of total)

ival-add!: 49.0ms (4.7% of total)

adjust: 48.0ms (4.6% of total)

Bogosity

preprocess45.0ms (1.1%)

Memory

-22.3MiB live, 69.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Symmetry

(abs im)

Compiler

Compiled 30 to 24 computations (20.0% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
2

Outputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series48.0ms (1.2%)

Memory

33.7MiB live, 79.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	652	4155

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

Calls

6 calls:

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

rewrite151.0ms (3.6%)

Memory

1.2MiB live, 238.4MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
0	20	75
1	86	75
2	353	75
3	1216	75
4	3090	75
0	4107	48

Stop Event

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

Counts

12 → 665

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

eval154.0ms (3.7%)

Memory: 25.6MiB live, 292.4MiB allocated; 65ms collecting garbage
Compiler: Compiled 21 579 to 4 464 computations (79.3% saved)

prune28.0ms (0.7%)

Memory

11.5MiB live, 56.5MiB allocated; 9ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	766	14	780
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	767	14	781

Accuracy

90.3%

Counts

781 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.1%	(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	17.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 im im (.f64 re re)) (.f64 (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))))) (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (*.f64 re re))))))))
	41.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64) re) re)) re)))
▶	77.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 re im) re))))
▶	7.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
	52.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
	23.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
	19.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	3.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
▶	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
	23.7%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
	51.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
▶	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))

Compiler

Compiled 620 to 434 computations (30.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
2
-2
-1/2
-1

Outputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series80.0ms (1.9%)

Memory

-29.4MiB live, 80.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	4215

Stop Event

1×	iter-limit

Counts

34 → 128

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
2.0ms	im	-inf
2.0ms	im	0
2.0ms	im	inf
1.0ms	re	-inf
1.0ms	re	inf

rewrite182.0ms (4.4%)

Memory

17.4MiB live, 294.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	238
0	67	212
1	224	212
2	721	211
3	2324	211
0	4021	211

Stop Event

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

Counts

34 → 1 520

Calls

Call 1

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

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 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re))))) (sqrt.f64 #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 (neg.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)))
(.f64 (pow.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 (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 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #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 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re))))))
(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(pow.f64 (pow.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 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (-.f64 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re))))) #s(literal 2 binary64))
(.f64 (fabs.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 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 binary64)))
(.f64 (pow.f64 (-.f64 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1 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 binary64)) (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1 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 binary64)) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))))
(.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 re (fma.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) #s(literal 2 binary64) re))) (fma.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64)) (+.f64 re re))) (+.f64 re re))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))) (sqrt.f64 (fma.f64 im im (.f64 re re))))) (sqrt.f64 (fma.f64 im im (.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) #s(literal 2 binary64) re) re)) re)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) (fma.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) #s(literal 2 binary64) re))) (fma.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64) re))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) re) (.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re)))) (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re))) (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re))))) (sqrt.f64 (fma.f64 im im (.f64 re re))))) (sqrt.f64 (fma.f64 im im (.f64 re re))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))))))
(.f64 (-.f64 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal -2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 re re) (.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re))) (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re))
(.f64 (neg.f64 (sqrt.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)))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64)))
(.f64 #s(literal -2 binary64) (-.f64 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64))) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 (neg.f64 re) (sqrt.f64 (fma.f64 im im (.f64 re re))))))
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(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) re))
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(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (fabs.f64 re)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 1 binary64)))
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(.f64 (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 re)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 1 binary64)) (pow.f64 (.f64 (fabs.f64 re) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (.f64 re re))
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(.f64 (neg.f64 (fabs.f64 re)) (.f64 (neg.f64 (fabs.f64 re)) #s(literal 1 binary64)))
(.f64 (neg.f64 (fabs.f64 re)) (.f64 (fabs.f64 re) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
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(sqrt.f64 (.f64 (.f64 re re) (*.f64 re re)))
(fabs.f64 (*.f64 (neg.f64 re) (neg.f64 (fabs.f64 re))))
(fabs.f64 (*.f64 re (neg.f64 (fabs.f64 re))))
(fabs.f64 (*.f64 (neg.f64 re) (fabs.f64 re)))
(fabs.f64 (*.f64 re (fabs.f64 re)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 re)))
(fabs.f64 (*.f64 (fabs.f64 re) (neg.f64 re)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 re)) re))
(fabs.f64 (*.f64 (fabs.f64 re) re))
(fabs.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
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(exp.f64 (.f64 (log.f64 (.f64 re re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 re)) #s(literal 2 binary64)))
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eval183.0ms (4.4%)

Memory: 22.6MiB live, 377.3MiB allocated; 80ms collecting garbage
Compiler: Compiled 32 917 to 6 186 computations (81.2% saved)

prune83.0ms (2.0%)

Memory

-38.0MiB live, 78.6MiB allocated; 115ms collecting garbage

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 164	11	1 175
Fresh	0	9	9
Picked	1	4	5
Done	0	0	0
Total	1 165	24	1 189

Accuracy

90.3%

Counts

1 189 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.1%	(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	7.5%	(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	0.0%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))))
	17.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 im im (.f64 re re)) (.f64 (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))))) (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (*.f64 re re))))))))
	41.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64) re) re)) re)))
✓	77.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 re im) re))))
▶	52.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
	33.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (.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))))))
	23.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
▶	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
	19.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	3.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
	0.0%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))
	23.7%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
	51.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
▶	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1 binary64)))) (fabs.f64 im)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 im))))))
▶	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))
	0.6%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) im (.f64 im #s(literal -1 binary64))) (.f64 im im))))))
✓	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
	1.7%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 im im)))))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))))

Compiler

Compiled 1 149 to 784 computations (31.8% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
2
1
-1/2
-1
(sqrt 2)

Outputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 9 to 8 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series54.0ms (1.3%)

Memory

18.9MiB live, 106.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	723	4604

Stop Event

1×	iter-limit

Counts

40 → 147

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
8.0ms	im	-inf
4.0ms	im	0
4.0ms	im	inf
4.0ms	re	-inf
2.0ms	re	inf

rewrite101.0ms (2.4%)

Memory

10.2MiB live, 153.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	396
0	77	360
1	282	322
2	1103	312
0	4116	242

Stop Event

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

Counts

40 → 854

Calls

Call 1

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

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

eval93.0ms (2.2%)

Memory: 8.7MiB live, 192.3MiB allocated; 25ms collecting garbage
Compiler: Compiled 26 389 to 4 409 computations (83.3% saved)

prune34.0ms (0.8%)

Memory

-30.6MiB live, 68.4MiB allocated; 7ms collecting garbage

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	807	15	822
Fresh	1	14	15
Picked	4	1	5
Done	0	4	4
Total	812	34	846

Accuracy

90.3%

Counts

846 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.1%	(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	7.5%	(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	53.4%	(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	51.5%	(.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))
	51.1%	(.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))))))
	0.0%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))))
	53.1%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))))
	17.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 im im (.f64 re re)) (.f64 (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))))) (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (*.f64 re re))))))))
	41.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64) re) re)) re)))
✓	77.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 re im) re))))
	30.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (/.f64 (*.f64 (+.f64 im re) im) im)))))
	42.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)))))
	23.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
	19.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	3.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
	48.1%	(.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))))
	0.0%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))
	23.7%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
	51.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) im) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (sqrt.f64 (.f64 #s(literal -2 binary64) im))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) im) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1/2 binary64))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 im) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) im)))))
▶	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) (neg.f64 im)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 im))))))
▶	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) (sqrt.f64 (*.f64 #s(literal -2 binary64) im)))))))
▶	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 6369051672525773/4503599627370496 binary64)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))
	0.6%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) im (.f64 im #s(literal -1 binary64))) (.f64 im im))))))
✓	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
	1.7%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 im im)))))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))))

Compiler

Compiled 1 635 to 1 154 computations (29.4% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
2
1/2
-1/2
-2
1
-1
(* (sqrt (sqrt 2)) (sqrt (sqrt 2)))
(sqrt (sqrt 2))
(sqrt 2)

Outputs
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 5355712719992597/4503599627370496 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 20 to 11 computations (45.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series54.0ms (1.3%)

Memory

51.9MiB live, 85.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	652	3932

Stop Event

1×	iter-limit

Counts

38 → 121

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
4.0ms	im	0
4.0ms	im	inf
4.0ms	im	-inf
1.0ms	re	-inf
1.0ms	re	inf

rewrite210.0ms (5.0%)

Memory

-12.2MiB live, 228.3MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	357
0	71	324
1	242	320
2	912	284
0	4168	234

Stop Event

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

Counts

38 → 1 029

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))))
(fabs.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))))
(.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))
(.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) (-.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (-.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))))
(neg.f64 (.f64 #s(literal -2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(neg.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))
(fma.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 1/2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))
(fma.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 1 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))
(-.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (.f64 (neg.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (.f64 #s(literal -1 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(-.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (neg.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))))))
(fabs.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))
(.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))
(.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 1 binary64))
#s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))
(/.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 2 binary64))
(neg.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
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(*.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))
(*.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) im))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) im)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 im)))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal -1 binary64) im)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))
(pow.f64 (neg.f64 im) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) im)
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 im #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 im))
(/.f64 #s(literal -2 binary64) (+.f64 im im))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 im)))
(neg.f64 (/.f64 #s(literal 1 binary64) im))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 im)) (/.f64 #s(literal 0 binary64) (neg.f64 im)))
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal -1 binary64) im)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im))) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 im)) (/.f64 #s(literal 1/2 binary64) (neg.f64 im)))
(+.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 0 binary64) (neg.f64 im)))
#s(literal -1 binary64)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval127.0ms (3.0%)

Memory: 24.8MiB live, 207.0MiB allocated; 42ms collecting garbage
Compiler: Compiled 35 342 to 5 022 computations (85.8% saved)

prune42.0ms (1.0%)

Memory

-14.7MiB live, 83.8MiB allocated; 16ms collecting garbage

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	1 014	20	1 034
Fresh	12	12	24
Picked	3	2	5
Done	0	5	5
Total	1 029	39	1 068

Accuracy

90.3%

Counts

1 068 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(.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))
	53.1%	(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	44.1%	(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	7.5%	(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	53.4%	(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	42.1%	(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	23.4%	(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal 4 binary64) re))) #s(literal 1/2 binary64))
	19.6%	(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1/2 binary64))
	3.9%	(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))) #s(literal 1/2 binary64))
✓	51.5%	(.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (+.f64 im im))) #s(literal 1/2 binary64))
	48.1%	(.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))
	23.7%	(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
	51.2%	(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))
	0.0%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))))
	17.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 im im (.f64 re re)) (.f64 (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))))) (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (*.f64 re re))))))))
	41.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64) re) re)) re)))
✓	77.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 re im) re))))
	30.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (/.f64 (*.f64 (+.f64 im re) im) im)))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
	0.0%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1/2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) im)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 im (sqrt.f64 (.f64 #s(literal -2 binary64) im))) (.f64 im #s(literal 1/2 binary64)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 #s(literal 1 binary64) (/.f64 im (.f64 im (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) im)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 im (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) im))))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) im) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) im) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1/2 binary64))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) im)))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) im)))) (neg.f64 im))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) im)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) im)) im) (/.f64 #s(literal -1/2 binary64) (neg.f64 im)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))) (neg.f64 im)))))
	51.3%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) im))) (neg.f64 im)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 im))))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 6369051672525773/4503599627370496 binary64)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))))
✓	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
	1.7%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 im im)))))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))))

Compiler

Compiled 1 005 to 723 computations (28.1% saved)

regimes495.0ms (11.9%)

Memory

-19.3MiB live, 796.3MiB allocated; 130ms collecting garbage

Counts

3 → 1

8 → 2

11 → 2

20 → 3

26 → 3

43 → 3

49 → 2

55 → 1

61 → 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))

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

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

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

Outputs

(*.f64 (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))))

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

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

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 -2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal 4 binary64) re))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 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)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 im))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 6369051672525773/4503599627370496 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.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 (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) (neg.f64 im)))))

Outputs

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

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

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 -2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal 4 binary64) re))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 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)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 im))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 6369051672525773/4503599627370496 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.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 (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (.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))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 im im)))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) im) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) im) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) im))) (neg.f64 im)))))

Outputs

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (*.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 (sqrt.f64 (*.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im 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 re (sqrt.f64 (/.f64 #s(literal 4 binary64) 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 -2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal 4 binary64) re))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 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)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 im))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 6369051672525773/4503599627370496 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.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 (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (.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))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 im im)))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) im) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) im) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) im))) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (/.f64 (*.f64 (+.f64 im re) im) im)))))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal -1 binary64) 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 (.f64 im (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 im (/.f64 #s(literal -1 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 (/.f64 im (sqrt.f64 (.f64 #s(literal -2 binary64) im))) (.f64 im #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) (sqrt.f64 (*.f64 #s(literal -2 binary64) 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))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 im) (.f64 (sqrt.f64 (*.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 (/.f64 im (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) im)))) (neg.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))) #s(literal 1/2 binary64))

Outputs

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

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

Call 7

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 -2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal 4 binary64) re))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 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)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 im))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 6369051672525773/4503599627370496 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.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 (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (.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))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 im im)))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) im) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) im) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) im))) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (/.f64 (*.f64 (+.f64 im re) im) im)))))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal -1 binary64) 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 (.f64 im (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 im (/.f64 #s(literal -1 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 (/.f64 im (sqrt.f64 (.f64 #s(literal -2 binary64) im))) (.f64 im #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) (sqrt.f64 (*.f64 #s(literal -2 binary64) 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))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 im) (.f64 (sqrt.f64 (*.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 (/.f64 im (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) im)))) (neg.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1/2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) 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))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) im (.f64 im #s(literal -1 binary64))) (.f64 im im))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1 binary64)))) (fabs.f64 im)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) 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 (sqrt.f64 (*.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))

Call 8

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 -2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal 4 binary64) re))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 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)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 im))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 6369051672525773/4503599627370496 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.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 (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (.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))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 im im)))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) im) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) im) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) im))) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (/.f64 (*.f64 (+.f64 im re) im) im)))))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal -1 binary64) 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 (.f64 im (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 im (/.f64 #s(literal -1 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 (/.f64 im (sqrt.f64 (.f64 #s(literal -2 binary64) im))) (.f64 im #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) (sqrt.f64 (*.f64 #s(literal -2 binary64) 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))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 im) (.f64 (sqrt.f64 (*.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 (/.f64 im (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) im)))) (neg.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1/2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) 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))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) im (.f64 im #s(literal -1 binary64))) (.f64 im im))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1 binary64)))) (fabs.f64 im)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.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) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 re im) re))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) im)))))
(.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 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))

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

Call 9

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 -2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal 4 binary64) re))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 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)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))
(.f64 #s(approx (sqrt ( (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 im))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 6369051672525773/4503599627370496 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.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 (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (.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))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 im im)))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) im) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) im) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) im))) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (/.f64 (*.f64 (+.f64 im re) im) im)))))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im re)) re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal -1 binary64) 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 (.f64 im (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 im (/.f64 #s(literal -1 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 (/.f64 im (sqrt.f64 (.f64 #s(literal -2 binary64) im))) (.f64 im #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) (sqrt.f64 (*.f64 #s(literal -2 binary64) 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))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 im) (.f64 (sqrt.f64 (*.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 (/.f64 im (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) im)))) (neg.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1/2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) 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))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) im (.f64 im #s(literal -1 binary64))) (.f64 im im))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1 binary64)))) (fabs.f64 im)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.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) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 re im) re))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) im)))))
(.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 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64) re) re)) re)))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) im)) im) (/.f64 #s(literal -1/2 binary64) (neg.f64 im)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 im im (.f64 re re)) (.f64 (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (.f64 re re)))))) (-.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (fma.f64 re #s(literal 2 binary64) (sqrt.f64 (fma.f64 im im (*.f64 re re))))))))

Outputs

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

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

Calls

37 calls:

36.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
20.0ms	im
19.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
18.0ms	(*.f64 im im)
17.0ms	im

Results

Accuracy	Segments	Branch
51.5%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
51.5%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
51.5%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
51.5%	1	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
51.5%	1	`(*.f64 im im)`
51.5%	1	`im`
51.5%	1	`re`
60.2%	2	`re`
60.5%	2	`re`
63.5%	3	`re`
63.8%	3	`re`
63.8%	3	`re`
57.7%	2	`(*.f64 im im)`
57.7%	2	`im`
53.4%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
53.4%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
55.2%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
55.2%	2	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
65.6%	3	`(*.f64 im im)`
65.6%	3	`im`
66.2%	3	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
66.2%	3	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
67.0%	4	`re`
65.8%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
65.8%	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))))`
77.5%	1	`re`
77.5%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
77.5%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
77.5%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
77.5%	1	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
77.5%	1	`(*.f64 im im)`
86.4%	3	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
86.4%	3	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
86.4%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
86.4%	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))))`
84.2%	2	`re`
77.5%	1	`im`

Compiler

Compiled 1 845 to 536 computations (70.9% saved)

bsearch1.0ms (0.0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.709044927132774e-135

Compiler

Compiled 32 to 24 computations (25.0% saved)

bsearch1.0ms (0.0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1105286512767875e+77	+inf

Compiler

Compiled 32 to 24 computations (25.0% saved)

bsearch48.0ms (1.2%)

Memory

-3.1MiB live, 89.4MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.3942170983404354e+23	8.267394069138356e+32
25.0ms	-1.613053558680325e+79	-1.0884437899853676e+75

Samples

15.0ms	28×	2	valid
11.0ms	196×	0	valid
6.0ms	25×	3	valid
3.0ms	23×	1	valid

Compiler

Compiled 903 to 626 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-hypot: 16.0ms (58.8% of total)

adjust: 4.0ms (14.7% of total)

ival-sqrt: 3.0ms (11.0% of total)

ival-mult!: 3.0ms (11.0% of total)

ival-add!: 1.0ms (3.7% of total)

bsearch3.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3942170983404354e+23	8.267394069138356e+32
1.0ms	-1.613053558680325e+79	-1.0884437899853676e+75

Compiler

Compiled 835 to 575 computations (31.1% saved)

bsearch22.0ms (0.5%)

Memory

-10.5MiB live, 42.1MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3942170983404354e+23	8.267394069138356e+32
19.0ms	-1.613053558680325e+79	-1.0884437899853676e+75

Samples

6.0ms	9×	1	valid
4.0ms	82×	0	valid
3.0ms	12×	3	valid
1.0ms	9×	2	valid

Compiler

Compiled 683 to 551 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

adjust: 6.0ms (49.7% of total)

ival-hypot: 3.0ms (24.8% of total)

ival-sqrt: 1.0ms (8.3% of total)

ival-mult!: 1.0ms (8.3% of total)

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

bsearch1.0ms (0.0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3942170983404354e+23	8.267394069138356e+32

Compiler

Compiled 387 to 311 computations (19.6% saved)

bsearch1.0ms (0.0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3942170983404354e+23	8.267394069138356e+32

Compiler

Compiled 360 to 293 computations (18.6% saved)

derivations136.0ms (3.3%)

Memory

-17.4MiB live, 178.1MiB allocated; 30ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 461 to 98 computations (78.7% saved)

preprocess123.0ms (3.0%)

Memory: 39.2MiB live, 311.4MiB allocated; 44ms collecting garbage
Symmetry: (abs im)
Compiler: Compiled 1 490 to 631 computations (57.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze102.0ms (2.5%)

sample1.6s (37.4%)

preprocess45.0ms (1.1%)

sample0.0ms (0.0%)

series48.0ms (1.2%)

rewrite151.0ms (3.6%)

eval154.0ms (3.7%)

prune28.0ms (0.7%)

sample0.0ms (0.0%)

series80.0ms (1.9%)

rewrite182.0ms (4.4%)

eval183.0ms (4.4%)

prune83.0ms (2.0%)

sample0.0ms (0.0%)

series54.0ms (1.3%)

rewrite101.0ms (2.4%)

eval93.0ms (2.2%)

prune34.0ms (0.8%)

sample0.0ms (0.0%)

series54.0ms (1.3%)

rewrite210.0ms (5.0%)

eval127.0ms (3.0%)

prune42.0ms (1.0%)

regimes495.0ms (11.9%)

bsearch1.0ms (0.0%)

bsearch1.0ms (0.0%)

bsearch48.0ms (1.2%)

bsearch3.0ms (0.1%)

bsearch22.0ms (0.5%)

bsearch1.0ms (0.0%)

bsearch1.0ms (0.0%)

derivations136.0ms (3.3%)

preprocess123.0ms (3.0%)

end0.0ms (0.0%)

Profiling