Metrics for math.sqrt on complex, real part

start0.0ms (0.0%)

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

analyze148.0ms (3.2%)

Memory

71.7MiB live, 282.7MiB allocated; 111ms 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)

sample1.3s (29.0%)

Memory

42.3MiB live, 2 423.0MiB allocated; 506ms collecting garbage

Samples

447.0ms	6 146×	0	valid
226.0ms	844×	2	valid
219.0ms	783×	1	valid
162.0ms	483×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 796.0ms

ival-hypot: 463.0ms (58.1% of total)

ival-mult!: 119.0ms (14.9% of total)

ival-sqrt: 89.0ms (11.2% of total)

adjust: 82.0ms (10.3% of total)

ival-add!: 43.0ms (5.4% of total)

Bogosity

preprocess53.0ms (1.1%)

Memory

-21.4MiB live, 70.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Symmetry

(abs im)

Compiler

Compiled 30 to 24 computations (20.0% 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)

series81.0ms (1.8%)

Memory

22.1MiB live, 119.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	652	4848

Stop Event

1×	iter-limit

Counts

12 → 122

Calls

Call 1

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

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

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

rewrite191.0ms (4.1%)

Memory

-8.4MiB live, 238.1MiB allocated; 55ms 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	75

Stop Event

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

Counts

12 → 521

Calls

Call 1

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

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

eval105.0ms (2.3%)

Memory: 22.4MiB live, 208.9MiB allocated; 22ms collecting garbage
Compiler: Compiled 18 930 to 3 967 computations (79.0% saved)

prune44.0ms (0.9%)

Memory

-27.3MiB live, 69.3MiB allocated; 15ms collecting garbage

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	615	17	632
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	615	18	633

Accuracy

85.0%

Counts

633 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.0%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (sqrt.f64 #s(literal 2 binary64))))
▶	37.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 re re) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
	22.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (.f64 im im) (.f64 re re)) (.f64 re re)) (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))) re)))))
	38.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) re))))
✓	39.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
	27.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))) re))))
▶	4.2%	(.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))))
	5.0%	(.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) im)) re))))
▶	52.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
	25.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
	25.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
	50.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
	13.0%	(.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)))))
	9.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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)))))
▶	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))))
	26.5%	(.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)))))
	50.6%	(.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 793 to 564 computations (28.9% saved)

sample0.0ms (0.0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Calls

Call 1

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

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

series173.0ms (3.7%)

Memory

26.9MiB live, 353.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1788	17664

Stop Event

1×	iter-limit

Counts

40 → 302

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
12.0ms	im	0
11.0ms	re	-inf
9.0ms	re	inf
8.0ms	im	-inf
7.0ms	re	0

rewrite314.0ms (6.8%)

Memory

-1.2MiB live, 780.1MiB allocated; 196ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	473
0	75	414
1	326	369
2	1200	369
0	4031	369

Stop Event

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

Counts

40 → 1 061

Calls

Call 1

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

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

eval251.0ms (5.4%)

Memory: -1.3MiB live, 664.2MiB allocated; 65ms collecting garbage
Compiler: Compiled 68 602 to 9 397 computations (86.3% saved)

prune50.0ms (1.1%)

Memory

3.8MiB live, 154.4MiB allocated; 27ms collecting garbage

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 431	19	1 450
Fresh	9	3	12
Picked	5	0	5
Done	-1	2	1
Total	1 444	24	1 468

Accuracy

85.0%

Counts

1 468 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.2%	(.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))
▶	53.0%	(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	0.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
▶	38.9%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
▶	39.0%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) #s(literal 6369051672525773/4503599627370496 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))))))
	52.8%	(.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))))
	26.3%	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) (sqrt.f64 #s(literal 2 binary64))))
	13.0%	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (sqrt.f64 #s(literal 2 binary64))))
	38.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 re re) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
✓	37.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 re re) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
	22.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (.f64 im im) (.f64 re re)) (.f64 re re)) (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))) re)))))
	27.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))) re))))
	5.0%	(.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) im)) re))))
	50.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (* im (+ 1 (/ re im))) im)))))
	25.5%	(.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))))))
▶	25.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
	13.0%	(.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)))))
	9.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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)))))
✓	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))))
	26.5%	(.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)))))
▶	50.6%	(.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 1 144 to 760 computations (33.6% saved)

sample3.0ms (0.1%)

Memory

-44.7MiB live, 1.6MiB allocated; 4ms collecting garbage

Calls

Call 1

Inputs
2
1/2
4
6369051672525773/4503599627370496
(sqrt 2)
(sqrt (sqrt 2))
(* (sqrt (sqrt 2)) (sqrt (sqrt 2)))

Outputs
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 4 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 5355712719992597/4503599627370496 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 18 to 9 computations (50.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series113.0ms (2.4%)

Memory

15.4MiB live, 245.5MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1361	12282

Stop Event

1×	iter-limit

Counts

33 → 250

Calls

Call 1

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

Outputs
#s(approx re re)
#s(approx (+ im re) im)
#s(approx (+ im re) (+.f64 im re))
#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 (+.f64 (.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))) 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) (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 re (+.f64 (.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 (* (+ (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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sqrt (* (+ (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 (+.f64 (.f64 re (+.f64 (.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 (* (+ (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) (+.f64 (.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) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 re (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 re (+.f64 (.f64 re (+.f64 (.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 (* 4 re) (*.f64 #s(literal 4 binary64) re))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#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 (sqrt (+ (* im im) (* re re))) (+.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 (+ (* im im) (* re re))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.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 (+ (* im im) (* re re))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.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 (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 re (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 re (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 re (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (+.f64 (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (+.f64 (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (+.f64 (.f64 re (+.f64 (.f64 #s(literal -6369051672525773/18014398509481984 binary64) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 re (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 re (+.f64 (.f64 re (+.f64 (.f64 #s(literal -6369051672525773/36028797018963968 binary64) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 re (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))
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#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
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#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 re (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 re (+.f64 (.f64 #s(literal -6369051672525773/72057594037927936 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))) (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))))
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#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 re (+.f64 (.f64 #s(literal 6369051672525773/36028797018963968 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))))
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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))) re) (+.f64 re (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.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 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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))))))
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#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
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#s(approx (/ 2 im) (/.f64 #s(literal 2 binary64) im))
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#s(approx (sqrt (+ (* im im) (* re 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 (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
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#s(approx (+ (sqrt (+ (* re re) (* im im))) re) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.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) 2) (*.f64 #s(literal 2 binary64) im))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 re im)))))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.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 (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
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#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))))) (+.f64 (.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)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 im (+.f64 (.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))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))) (+.f64 (.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 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 (sqrt (+ (* im im) (* re re))) (.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 (+ (* im im) (* re re))) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.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 (+ (* im im) (* re re))) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (+.f64 (.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 1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))))) (+.f64 (.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 1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 im (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 im (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 im (+.f64 (.f64 #s(literal -6369051672525773/36028797018963968 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 im (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 im (+.f64 (.f64 #s(literal 6369051672525773/36028797018963968 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 im (+.f64 (.f64 #s(literal -6369051672525773/72057594037927936 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 6369051672525773/36028797018963968 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 im (.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 (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.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 (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.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 (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal 1/2 binary64) (.f64 im (*.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 im (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (*.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (.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 (+ 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 (+ (* 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 (+.f64 (.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))) re) 2) (*.f64 #s(literal -2 binary64) im))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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 (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (/.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))
#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) (+.f64 (.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)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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 (* (+ (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 (+.f64 (.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 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))) (+.f64 (.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 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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)))) (+.f64 (.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 (+ (* im im) (* re re))) (.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 (+ (* im im) (* re re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.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 (+ (* im im) (* re re))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))))))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (+.f64 (.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 -1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))))))))
#s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 #s(literal -6369051672525773/4503599627370496 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -6369051672525773/18014398509481984 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 6369051672525773/36028797018963968 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -6369051672525773/36028797018963968 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 6369051672525773/72057594037927936 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (.f64 #s(literal 6369051672525773/36028797018963968 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))))))
#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 #s(literal -1 binary64) (.f64 im (*.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 (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.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 (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (*.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 (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (*.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))))))))

Calls

6 calls:

Time	Variable	Point
8.0ms	re	0
6.0ms	re	-inf
5.0ms	im	0
3.0ms	im	-inf
3.0ms	re	inf

rewrite187.0ms (4.0%)

Memory

20.7MiB live, 507.1MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	307
0	63	292
1	228	288
2	713	288
3	2913	288
0	4101	288

Stop Event

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

Counts

33 → 830

Calls

Call 1

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

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

eval179.0ms (3.9%)

Memory: 26.6MiB live, 442.8MiB allocated; 64ms collecting garbage
Compiler: Compiled 43 081 to 6 155 computations (85.7% saved)

prune43.0ms (0.9%)

Memory

-14.2MiB live, 178.9MiB allocated; 11ms collecting garbage

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1 229	18	1 247
Fresh	11	6	17
Picked	5	0	5
Done	-3	5	2
Total	1 242	29	1 271

Accuracy

85.0%

Counts

1 271 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(.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))
	39.0%	(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)) #s(literal 6369051672525773/9007199254740992 binary64))
	4.2%	(.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))
✓	53.0%	(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	50.8%	(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	13.0%	(.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))
	9.5%	(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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(literal 1/2 binary64))
	26.5%	(.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))
	0.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
	38.9%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))) #s(literal 6369051672525773/4503599627370496 binary64)))
▶	22.8%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 (.f64 re re) (.f64 im im)) (.f64 re re)) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))) #s(literal 6369051672525773/4503599627370496 binary64)))
	38.9%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))
	27.6%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))) re)) #s(literal 6369051672525773/4503599627370496 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))))))
	50.4%	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 im (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%	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 #s(literal -1 binary64) (.f64 im (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))))))
▶	13.0%	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
✓	37.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 re re) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
	5.0%	(.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) im)) re))))
▶	25.5%	(.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))))))
✓	25.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
	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))))
	50.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
✓	50.6%	(.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)))))
	47.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))))
	0.0%	#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
	26.3%	#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
	13.0%	#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))

Compiler

Compiled 1 354 to 902 computations (33.4% saved)

sample0.0ms (0.0%)

Memory

2.6MiB live, 2.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
(sqrt 2)
1/2
-2
6369051672525773/4503599627370496
-1/2
(sqrt (sqrt 2))
(* (sqrt (sqrt 2)) (sqrt (sqrt 2)))

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

Samples

0.0ms

1×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series206.0ms (4.4%)

Memory

-9.5MiB live, 473.8MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2555	28121

Stop Event

1×	iter-limit

Counts

43 → 426

Calls

Call 1

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

Outputs
#s(approx re re)
#s(approx (+ im re) im)
#s(approx (+ im re) (+.f64 im re))
#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 (+.f64 (.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 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 re (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 re (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) (+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) (+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 re (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) 1/2) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) 1/2) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 re (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) 1/2) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 re (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 re (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (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) (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 re (+.f64 (.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 (* (+ (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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))))))
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#s(approx (sqrt (* -1/2 (/ (pow im 2) re))) (/.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))
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#s(approx (* (sqrt (/ (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))) 6369051672525773/4503599627370496) (.f64 re (+.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))) (.f64 #s(literal 6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))))
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#s(approx (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.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 (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (*.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 (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (*.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (.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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im))))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) im)))))))))

Calls

6 calls:

Time	Variable	Point
27.0ms	re	inf
16.0ms	im	0
11.0ms	re	0
7.0ms	re	-inf
6.0ms	im	inf

rewrite225.0ms (4.8%)

Memory

6.9MiB live, 680.4MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	566
0	85	483
1	316	481
2	1149	481
0	4052	433

Stop Event

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

Counts

43 → 771

Calls

Call 1

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

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

eval241.0ms (5.2%)

Memory: -21.2MiB live, 306.6MiB allocated; 50ms collecting garbage
Compiler: Compiled 58 205 to 7 246 computations (87.6% saved)

prune42.0ms (0.9%)

Memory

9.2MiB live, 101.7MiB allocated; 5ms collecting garbage

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 121	16	1 137
Fresh	10	9	19
Picked	5	0	5
Done	2	3	5
Total	1 138	28	1 166

Accuracy

99.5%

Counts

1 166 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)))))) #s(literal 1/2 binary64))
	52.8%	(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 1/2 binary64))
	4.3%	(.f64 (.f64 (sqrt.f64 #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))))))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
	13.0%	(.f64 (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (.f64 (/.f64 (.f64 im im) re) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
	39.0%	(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)) #s(literal 6369051672525773/9007199254740992 binary64))
	50.8%	(.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)))) #s(literal 1/2 binary64))
	4.2%	(.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))
	25.5%	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im))) (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)))))) #s(literal 1/2 binary64))
	13.0%	(.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))
	26.5%	(.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))
	30.0%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 im im) (.f64 (+.f64 re re) (-.f64 re re)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re))) #s(literal 6369051672525773/4503599627370496 binary64)))
	29.7%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 re (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))))) (sqrt.f64 (-.f64 (.f64 im im) (*.f64 (+.f64 re re) (-.f64 re re))))) #s(literal 6369051672525773/4503599627370496 binary64)))
	28.1%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (+.f64 re re) (-.f64 re re)) (.f64 im im)) (-.f64 re (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))))) #s(literal 6369051672525773/4503599627370496 binary64)))
	38.9%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))
	27.6%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))) re)) #s(literal 6369051672525773/4503599627370496 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))))))
	17.0%	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (/.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 im) im) #s(literal -1/2 binary64))) (sqrt.f64 (neg.f64 re)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
	16.8%	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 im re))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
	27.4%	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) #s(approx (sqrt (* -1/2 (/ (pow im 2) re))) (.f64 im (sqrt.f64 (/.f64 #s(literal -1/2 binary64) re))))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
	1.9%	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) #s(approx (sqrt (* -1/2 (/ (pow im 2) re))) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -1/2 binary64) re)))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
	5.0%	(.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) im)) re))))
✓	25.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
	50.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
✓	50.6%	(.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 (* (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)))))
	26.3%	#s(approx (* 1/2 (* (sqrt (/ (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
	17.0%	#s(approx (* 1/2 (* (sqrt (/ (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))))))

Compiler

Compiled 838 to 506 computations (39.6% saved)

regimes397.0ms (8.6%)

Memory

59.2MiB live, 1 374.9MiB allocated; 198ms collecting garbage

Counts

3 → 1

14 → 2

19 → 2

32 → 2

43 → 3

71 → 3

Calls

Call 1

Inputs

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

Call 2

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

Outputs

(*.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) 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 (+.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) 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 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (* im (+ 1 (/ re im))) im)))))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #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 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal 6369051672525773/4503599627370496 binary64)) #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))
(.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) im)) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#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 -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* 1/2 (* (sqrt (/ (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))

Outputs

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

#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (*.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))

Call 4

Inputs
(.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) 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 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (* im (+ 1 (/ re im))) im)))))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #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 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal 6369051672525773/4503599627370496 binary64)) #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))
(.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) im)) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#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 -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* 1/2 (* (sqrt (/ (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
(.f64 #s(literal 1/2 binary64) #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 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
(.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 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im))) (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)))))) #s(literal 1/2 binary64))
(.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 (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 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)) #s(literal 6369051672525773/9007199254740992 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))

Outputs

(*.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) 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 5

Inputs
(.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) 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 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (* im (+ 1 (/ re im))) im)))))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #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 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal 6369051672525773/4503599627370496 binary64)) #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))
(.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) im)) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#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 -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* 1/2 (* (sqrt (/ (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
(.f64 #s(literal 1/2 binary64) #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 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
(.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 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im))) (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)))))) #s(literal 1/2 binary64))
(.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 (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 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)) #s(literal 6369051672525773/9007199254740992 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))
(.f64 (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (.f64 (/.f64 (.f64 im im) re) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)))))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #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))))))) (sqrt.f64 #s(literal 2 binary64))) #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 #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 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))) re))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))) re)) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (+.f64 re re) (-.f64 re re)) (.f64 im im)) (-.f64 re (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))))) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (.f64 im im) (.f64 re re)) (.f64 re re)) (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))) re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 (.f64 re re) (.f64 im im)) (.f64 re re)) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))) #s(literal 6369051672525773/4503599627370496 binary64)))

Outputs

(*.f64 (*.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal -1/2 binary64)))) (sqrt.f64 #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 6

Inputs
(.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) 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 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (* im (+ 1 (/ re im))) im)))))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #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 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal 6369051672525773/4503599627370496 binary64)) #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))
(.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) im)) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
#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 -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
#s(approx (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* 1/2 (* (sqrt (/ (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))))
(.f64 #s(literal 1/2 binary64) #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 re (sqrt.f64 (/.f64 #s(literal 4 binary64) re)))) #s(literal 1/2 binary64))
(.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 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im))) (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)))))) #s(literal 1/2 binary64))
(.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 (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 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)) #s(literal 6369051672525773/9007199254740992 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))
(.f64 (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (.f64 (/.f64 (.f64 im im) re) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (+ im re) im)))))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #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))))))) (sqrt.f64 #s(literal 2 binary64))) #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 #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 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))) re))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))) re)) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (+.f64 re re) (-.f64 re re)) (.f64 im im)) (-.f64 re (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))))) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (.f64 im im) (.f64 re re)) (.f64 re re)) (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))) re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 (.f64 re re) (.f64 im im)) (.f64 re re)) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) #s(approx (sqrt (* -1/2 (/ (pow im 2) re))) (.f64 im (sqrt.f64 (/.f64 #s(literal -1/2 binary64) re))))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 im (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) (sqrt.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 re re) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) #s(approx (sqrt (* -1/2 (/ (pow im 2) re))) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -1/2 binary64) re)))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 im re))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (.f64 #s(literal -1 binary64) (.f64 im (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 (/.f64 (sqrt.f64 (-.f64 (.f64 im im) (.f64 (+.f64 re re) (-.f64 re re)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re))) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) re)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 re (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))))) (sqrt.f64 (-.f64 (.f64 im im) (*.f64 (+.f64 re re) (-.f64 re re))))) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) re))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (/.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 im) im) #s(literal -1/2 binary64))) (sqrt.f64 (neg.f64 re)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))) #s(literal 6369051672525773/4503599627370496 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 re re) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #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 (* 1/2 (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #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))
#s(approx (* 1/2 (* (sqrt (/ (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))) 6369051672525773/4503599627370496)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) re))))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 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 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -2 binary64) im)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im)) (/.f64 #s(literal 1/2 binary64) #s(literal 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 (+.f64 (.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)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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)))))
(.f64 (sqrt.f64 #s(approx ( (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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(literal 1/2 binary64))

Outputs

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

Calls

26 calls:

43.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
36.0ms	(*.f64 im im)
30.0ms	im
28.0ms	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
25.0ms	re

Results

Accuracy	Segments	Branch
50.8%	1	`(*.f64 im im)`
50.8%	1	`im`
50.8%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
50.8%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
50.8%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
50.8%	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))))`
50.8%	1	`re`
64.8%	2	`re`
65.3%	2	`re`
66.0%	3	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
66.0%	3	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
66.2%	3	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
66.2%	3	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
65.5%	2	`re`
69.0%	4	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
69.0%	4	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
70.4%	4	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
70.4%	4	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
70.2%	3	`re`
64.6%	3	`(*.f64 im im)`
77.2%	4	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
77.2%	4	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
77.9%	4	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
77.9%	4	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
79.7%	3	`re`
67.5%	4	`im`

Compiler

Compiled 2 114 to 533 computations (74.8% saved)

bsearch55.0ms (1.2%)

Memory

-22.9MiB live, 168.1MiB allocated; 22ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	5.580937192376585e+20	2.7445026606218376e+31
26.0ms	-7.593384923908387e+35	-3.452929926935225e+31

Samples

16.0ms	222×	0	valid
9.0ms	14×	3	valid
6.0ms	30×	2	valid
3.0ms	22×	1	valid

Compiler

Compiled 876 to 688 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-hypot: 14.0ms (53.6% of total)

ival-sqrt: 6.0ms (23.0% of total)

ival-mult!: 3.0ms (11.5% of total)

adjust: 2.0ms (7.7% of total)

ival-add!: 1.0ms (3.8% of total)

bsearch17.0ms (0.4%)

Memory

-6.9MiB live, 37.9MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.580937192376585e+20	2.7445026606218376e+31
10.0ms	-1.43886491218157e+98	-4.625484072794231e+97

Samples

3.0ms	59×	0	valid
2.0ms	8×	2	valid
1.0ms	11×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 648 to 519 computations (19.9% saved)

Precisions

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

ival-hypot: 2.0ms (44.7% of total)

ival-sqrt: 1.0ms (22.3% of total)

ival-mult!: 1.0ms (22.3% of total)

adjust: 0.0ms (0.0% of total)

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

bsearch2.0ms (0.0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.580937192376585e+20	2.7445026606218376e+31

Compiler

Compiled 598 to 344 computations (42.5% saved)

bsearch2.0ms (0.0%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.580937192376585e+20	2.7445026606218376e+31

Compiler

Compiled 618 to 364 computations (41.1% saved)

bsearch2.0ms (0.0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.580937192376585e+20	2.7445026606218376e+31

Compiler

Compiled 568 to 324 computations (43.0% saved)

derivations108.0ms (2.3%)

Memory

-38.6MiB live, 146.4MiB allocated; 48ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 381 to 82 computations (78.5% saved)

preprocess63.0ms (1.4%)

Memory: -13.5MiB live, 220.8MiB allocated; 17ms collecting garbage
Symmetry: (abs im)
Compiler: Compiled 1 214 to 469 computations (61.4% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze148.0ms (3.2%)

sample1.3s (29.0%)

preprocess53.0ms (1.1%)

sample0.0ms (0.0%)

series81.0ms (1.8%)

rewrite191.0ms (4.1%)

eval105.0ms (2.3%)

prune44.0ms (0.9%)

sample0.0ms (0.0%)

series173.0ms (3.7%)

rewrite314.0ms (6.8%)

eval251.0ms (5.4%)

prune50.0ms (1.1%)

sample3.0ms (0.1%)

series113.0ms (2.4%)

rewrite187.0ms (4.0%)

eval179.0ms (3.9%)

prune43.0ms (0.9%)

sample0.0ms (0.0%)

series206.0ms (4.4%)

rewrite225.0ms (4.8%)

eval241.0ms (5.2%)

prune42.0ms (0.9%)

regimes397.0ms (8.6%)

bsearch55.0ms (1.2%)

bsearch17.0ms (0.4%)

bsearch2.0ms (0.0%)

bsearch2.0ms (0.0%)

bsearch2.0ms (0.0%)

derivations108.0ms (2.3%)

preprocess63.0ms (1.4%)

end0.0ms (0.0%)

Profiling