Metrics for math.sqrt on complex, real part

start0.0ms (0.0%)

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

analyze146.0ms (0.5%)

Memory

10.2MiB live, 152.6MiB allocated; 26ms 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 (4.4%)

Memory

70.8MiB live, 1 501.6MiB allocated; 209ms collecting garbage

Samples

479.0ms	6 146×	0	valid
199.0ms	843×	2	valid
169.0ms	503×	3	valid
121.0ms	764×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 670.0ms

ival-hypot: 300.0ms (44.8% of total)

ival-mult!: 118.0ms (17.6% of total)

ival-sqrt: 113.0ms (16.9% of total)

adjust: 81.0ms (12.1% of total)

ival-add!: 56.0ms (8.4% of total)

Bogosity

preprocess42.0ms (0.1%)

Memory

-17.6MiB live, 28.1MiB allocated; 5ms 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
▶	40.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Symmetry

(abs im)

Compiler

Compiled 30 to 24 computations (20.0% saved)

series52.0ms (0.2%)

Memory

29.2MiB live, 75.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	652	4830

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

rewrite933.0ms (3.3%)

Memory

-274.3MiB live, 280.5MiB allocated; 1.9s 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 → 838

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

eval5.9s (20.7%)

Memory

283.9MiB live, 7 991.2MiB allocated; 1.4s collecting garbage

Samples

2.8s	50 650×	0	valid
1.8s	30 502×	0	invalid

Compiler

Compiled 25 390 to 5 116 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult!: 1.1s (75.0% of total)

ival-sub!: 239.0ms (16.1% of total)

adjust: 132.0ms (8.9% of total)

prune61.0ms (0.2%)

Memory

-11.7MiB live, 87.7MiB allocated; 14ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	936	13	949
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	936	14	950

Accuracy

89.1%

Counts

950 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.8%	(.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))))
	40.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))))
✓	40.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
	3.8%	(.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))))
▶	5.2%	(.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) im)) re))))
▶	54.8%	(.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)))))))
	21.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #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 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
	27.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
	52.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
▶	14.4%	(.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)))))
	12.4%	(.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))))
▶	52.7%	(.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)))))

Samples

29.0ms

512×

valid

Compiler

Compiled 613 to 462 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 7.0ms (79.3% of total)

ival-sub!: 1.0ms (11.3% of total)

adjust: 1.0ms (11.3% of total)

series52.0ms (0.2%)

Memory

-17.6MiB live, 73.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	675	4912

Stop Event

1×	iter-limit

Counts

35 → 132

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

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

Calls

6 calls:

Time	Variable	Point
7.0ms	im	0
4.0ms	im	-inf
3.0ms	im	inf
2.0ms	re	inf
2.0ms	re	-inf

rewrite169.0ms (0.6%)

Memory

12.8MiB live, 294.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	374
0	65	364
1	232	344
2	914	344
3	3566	344
0	4013	344

Stop Event

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

Counts

35 → 764

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

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

eval4.1s (14.4%)

Memory

-198.5MiB live, 4 449.1MiB allocated; 2.7s collecting garbage

Samples

2.4s	44 080×	0	valid
958.0ms	2 000×	0	invalid

Compiler

Compiled 27 797 to 4 462 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult!: 1.5s (85.9% of total)

ival-sub!: 186.0ms (10.7% of total)

adjust: 60.0ms (3.5% of total)

prune58.0ms (0.2%)

Memory

43.7MiB live, 90.4MiB allocated; 3ms collecting garbage

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	849	18	867
Fresh	5	3	8
Picked	5	0	5
Done	-2	3	1
Total	857	24	881

Accuracy

91.9%

Counts

881 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.2%	(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	55.6%	(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	17.5%	(.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #s(literal 1/2 binary64))
	17.9%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
	39.8%	(.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))))
	5.2%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re)) (sqrt.f64 #s(literal 2 binary64))))
	17.4%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 (neg.f64 im) (/.f64 im re))))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))))))
	55.2%	(.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))))
▶	40.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))))
✓	40.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
	3.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)) re))))
	52.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) #s(approx (* im (+ 1 (/ re im))) im)))))
▶	14.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))
▶	27.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
	12.4%	(.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 -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (neg.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))))
	51.7%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
	16.4%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #s(literal 1/2 binary64))))
	0.0%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))
✓	52.7%	(.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)))))
▶	49.1%	(.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))))))
	52.8%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) im)) im)))))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))

Samples

26.0ms

512×

valid

Compiler

Compiled 1 084 to 756 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 7.0ms (79.2% of total)

ival-sub!: 1.0ms (11.3% of total)

adjust: 1.0ms (11.3% of total)

series97.0ms (0.3%)

Memory

-6.8MiB live, 134.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	792	5841

Stop Event

1×	iter-limit

Counts

34 → 152

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))))
(neg.f64 im)
(*.f64 (neg.f64 im) im)
(/.f64 (*.f64 (neg.f64 im) im) re)
#s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))
(sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))
#s(literal 1 binary64)
(134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)
(sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im))
(+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re)
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))))
(/.f64 #s(literal 2 binary64) im)
(log.f64 (/.f64 #s(literal 2 binary64) im))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))
(.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 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 (/ (* (neg im) im) re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (* 1 (- (* re re) (* (neg im) im))) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* 1 (- (* re re) (* (neg im) im))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (sqrt (* 1 (- (* re re) (* (neg im) im)))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sqrt (* 1 (- (* re re) (* (neg im) im)))) (+.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (* 1 (- (* re re) (* (neg im) im)))) (+.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (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 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (sqrt (* 1 (- (* re re) (* (neg im) im)))) (+.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (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 (neg.f64 (.f64 #s(literal -1 binary64) (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 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re) (+.f64 re (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re) (+.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 re (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
#s(approx (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re) (+.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (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 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))))
#s(approx (* 2 (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re)) (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 2 (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re)) (+.f64 (.f64 #s(literal 2 binary64) re) (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 2 (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re)) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* 2 (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re)) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (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 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
#s(approx (sqrt (* 2 (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (* 2 (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))) (/.f64 re (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 2 (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (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 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
#s(approx (sqrt (* 2 (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (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 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))) #s(literal 2 binary64)))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))) #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (* 1 (- (* re re) (* (neg im) im)))) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
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#s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal 2 binary64) re))
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#s(approx (sqrt (* 1 (- (* re re) (* (neg 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 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 (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (+.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))))))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (+.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 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (+.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 (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (* (neg im) im) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* 1 (- (* re re) (* (neg im) im))) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (* 1 (- (* re re) (* (neg im) im)))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (* 1 (- (* re re) (* (neg 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 (* 1 (- (* re re) (* (neg 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 (* 1 (- (* re re) (* (neg 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 (/ 2 im) (/.f64 #s(literal 2 binary64) im))
#s(approx (log (/ 2 im)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 im))))
#s(approx (* (log (/ 2 im)) 1/2) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 im)))))
#s(approx (exp (* (log (/ 2 im)) 1/2)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) im))
#s(approx (* im (exp (* (log (/ 2 im)) 1/2))) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (+ 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 (* (+ (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)))))))
#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 3 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))) (/.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))))))
#s(approx (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (+.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 (* 1 (- (* re re) (* (neg 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 (* 1 (- (* re re) (* (neg 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 (* 1 (- (* re re) (* (neg 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 (* 1 (- (* re re) (* (neg 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 (log (/ 2 im)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (log (/ 2 im)) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (exp (* (log (/ 2 im)) 1/2)) (sqrt.f64 (/.f64 #s(literal 2 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) (.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 (* 1 (- (* re re) (* (neg 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 (* 1 (- (* re re) (* (neg 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 (* 1 (- (* re re) (* (neg 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))))))))))

Calls

6 calls:

Time	Variable	Point
36.0ms	im	0
9.0ms	im	-inf
9.0ms	im	inf
5.0ms	re	0
2.0ms	re	-inf

rewrite269.0ms (0.9%)

Memory

-46.7MiB live, 511.2MiB allocated; 99ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	345
0	67	337
1	249	332
2	732	332
3	2671	332
0	4322	332

Stop Event

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

Counts

34 → 1 476

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))))
(neg.f64 im)
(*.f64 (neg.f64 im) im)
(/.f64 (*.f64 (neg.f64 im) im) re)
#s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))
(sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))
#s(literal 1 binary64)
(134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)
(sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im))
(+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re)
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))))
(/.f64 #s(literal 2 binary64) im)
(log.f64 (/.f64 #s(literal 2 binary64) im))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))
(.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal 1/2 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 (.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 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 (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) (neg.f64 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 #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))
(sqrt.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 4 binary64)))
(fabs.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))) #s(literal -2 binary64)))
(fabs.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))))) #s(literal -2 binary64)))
(fabs.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal -2 binary64)))
(fabs.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))
(+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 0 binary64)))
(+.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) (.f64 #s(literal 0 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
#s(literal 2 binary64)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) #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)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))
(.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 1 binary64))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 0 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)))) (-.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 3 binary64))) (+.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (-.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal -1 binary64)))
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(*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im)) (.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im) (.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im))) (-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im) (.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im)) (-.f64 (.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im) (.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im)) (.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im) (.f64 (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im)))))
(neg.f64 (*.f64 (neg.f64 im) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (neg.f64 im)))
(-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im) (.f64 (neg.f64 im) (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))))
(-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im) (.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))) im))
(-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im) (neg.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im)))
(+.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im))
(+.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) (sqrt.f64 (/.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)) im) (.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64)) im))
#s(approx (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) im))
(.f64 #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) im)) im)))

eval13.6s (47.6%)

Memory

493.4MiB live, 16 481.6MiB allocated; 4.7s collecting garbage

Samples

9.1s	162 124×	0	valid
1.8s	15 284×	0	invalid

Compiler

Compiled 45 692 to 9 254 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-mult!: 2.6s (77.8% of total)

ival-sub!: 502.0ms (14.8% of total)

adjust: 251.0ms (7.4% of total)

prune63.0ms (0.2%)

Memory

-6.3MiB live, 94.7MiB allocated; 22ms collecting garbage

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1 594	9	1 603
Fresh	7	9	16
Picked	5	0	5
Done	-5	8	3
Total	1 601	26	1 627

Accuracy

92.0%

Counts

1 627 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	(.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))
	5.2%	(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	55.6%	(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	52.9%	(.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))
	12.4%	(.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))
▶	17.5%	(.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #s(literal 1/2 binary64))
	51.7%	(.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
	17.9%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
	39.8%	(.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))))
	5.2%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re)) (sqrt.f64 #s(literal 2 binary64))))
	14.3%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (.f64 (neg.f64 im) im) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))))
▶	27.0%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal 4 binary64) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))))
✓	40.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))))
✓	40.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
	3.8%	(.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))))
✓	14.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))
✓	27.2%	(.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 -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (neg.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))))
▶	13.6%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))) #s(literal 1/2 binary64))))
	0.0%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))
✓	52.7%	(.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)))))
	48.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)) #s(literal 1/2 binary64))))))
✓	49.1%	(.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))))))
	52.8%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) im)) im)))))
	0.0%	#s(approx (* (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)))))

Samples

13.0ms

256×

valid

Compiler

Compiled 1 106 to 748 computations (32.4% saved)

Precisions

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

ival-mult!: 4.0ms (88.1% of total)

ival-sub!: 1.0ms (22.0% of total)

adjust: 0.0ms (0.0% of total)

series126.0ms (0.4%)

Memory

-7.7MiB live, 176.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1749	16712

Stop Event

1×	iter-limit

Counts

35 → 295

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))
(neg.f64 im)
(/.f64 im re)
(*.f64 (neg.f64 im) (/.f64 im re))
#s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))
(sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re))))
(.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #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)))
(sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal 4 binary64) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal 4 binary64) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))))
(*.f64 (neg.f64 im) im)
(/.f64 (*.f64 (neg.f64 im) im) re)
#s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))
(log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re)))
(.f64 (log.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))) #s(literal 1/2 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))))))))))
#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 (/ im re) (/.f64 im re))
#s(approx (* (neg im) (/ im re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (* 4 re) (*.f64 #s(literal 4 binary64) re))
#s(approx (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (+.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (sqrt.f64 (sqrt.f64 (.f64 #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))))))))))
#s(approx (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (+.f64 (sqrt.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 1/2 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 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))))) (sqrt.f64 (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) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #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))))))))))))
#s(approx (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (+.f64 (sqrt.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 1/2 binary64) (/.f64 (-.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 1/2 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 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (.f64 (pow.f64 (sqrt.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)))))))))) (sqrt.f64 (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 1/2 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 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (sqrt.f64 (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) (.f64 (sqrt.f64 (sqrt.f64 (.f64 #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))))))))))))
#s(approx (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))) (+.f64 (/.f64 re (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))) (+.f64 (.f64 re (+.f64 (.f64 re (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 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 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))) (+.f64 (.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)))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))))
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#s(approx (* (+ (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 (neg im) (*.f64 #s(literal -1 binary64) im))
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#s(approx (* 1/2 (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) #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 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* (neg im) im) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.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 (pow.f64 re #s(literal 2 binary64))) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.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 #s(literal -1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))))
#s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.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 -1/24 binary64) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))) (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))))
#s(approx (* (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) 1/2) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) 1/2) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) 1/2) (+.f64 (.f64 #s(literal 1/2 binary64) (log.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 #s(literal -1/48 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))))
#s(approx (* (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) 1/2) (+.f64 (.f64 #s(literal 1/2 binary64) (log.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 -1/48 binary64) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))) (.f64 #s(literal 1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))) (.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (+.f64 re (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))))
#s(approx (+ 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 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (sqrt (+ (sqrt (+ (* re re) (* im im))) 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 (+ (* re re) (* im im))) 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)))))))))
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#s(approx (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) (.f64 im (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
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#s(approx (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #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 (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
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#s(approx (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) 1/2) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re (sqrt.f64 #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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
#s(approx (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) 1/2) (.f64 im (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #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 (sqrt.f64 #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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2)) 1/2) (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #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)) (sqrt.f64 #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 (sqrt.f64 #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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (*.f64 #s(literal 2 binary64) im))
#s(approx (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (.f64 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))))))))
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#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 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))))))
#s(approx (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) (.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))))))))
#s(approx (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))) (pow.f64 im #s(literal 3 binary64))))))))
#s(approx (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))) (pow.f64 im #s(literal 3 binary64))))))))
#s(approx (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))) (/.f64 re (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.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)))))) im)) (/.f64 re (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) #s(literal 2 binary64)))))
#s(approx (* 1/2 (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) #s(literal 2 binary64)))))
#s(approx (* 1/2 (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 re (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) #s(literal 2 binary64))))))
#s(approx (* 1/2 (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))) (.f64 #s(literal 1/2 binary64) (/.f64 re (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))) (pow.f64 im #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) #s(literal 2 binary64))))))
#s(approx (* 1/2 (* (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.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 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)))))) im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (sqrt.f64 (/.f64 #s(literal -2 binary64) im))))) (pow.f64 im #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) im)) im))) #s(literal 2 binary64))))))
#s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal -1 binary64) (/.f64 re im)))))
#s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) im))) im)))))
#s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 3 binary64)))) im)) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))) im))) im)))))
#s(approx (* (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) 1/2) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))))
#s(approx (* (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) 1/2) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 re im)) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))))
#s(approx (* (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) 1/2) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) im)) (.f64 #s(literal 1/2 binary64) re)) im)) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))))
#s(approx (* (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) 1/2) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 3 binary64)))) im)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))) im)) (.f64 #s(literal 1/2 binary64) re)) im)) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))))

Calls

6 calls:

Time	Variable	Point
10.0ms	im	0
8.0ms	re	-inf
8.0ms	re	inf
7.0ms	re	0
5.0ms	im	inf

rewrite202.0ms (0.7%)

Memory

22.2MiB live, 396.3MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	477
0	66	429
1	199	428
2	696	428
3	2607	428
0	4418	428

Stop Event

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

Counts

35 → 790

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

eval233.0ms (0.8%)

Memory

-12.9MiB live, 307.6MiB allocated; 56ms collecting garbage

Samples

123.0ms

2 048×

valid

Compiler

Compiled 58 668 to 4 798 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult!: 40.0ms (84.0% of total)

ival-sub!: 6.0ms (12.6% of total)

adjust: 2.0ms (4.2% of total)

prune46.0ms (0.2%)

Memory

22.2MiB live, 73.9MiB allocated; 7ms collecting garbage

Pruning

38 alts after pruning (27 fresh and 11 done)

	Pruned	Kept	Total
New	873	16	889
Fresh	2	11	13
Picked	5	0	5
Done	-3	11	8
Total	877	38	915

Accuracy

95.6%

Counts

915 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.6%	(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re)))) #s(literal 1/2 binary64))
	14.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))) #s(literal 1/2 binary64))
	14.9%	(.f64 (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (.f64 (neg.f64 im) im) re)) #s(literal 1/4 binary64)) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
	55.1%	(.f64 (.f64 (.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))))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
	55.2%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal -2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
	52.5%	(.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))
	14.3%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (.f64 (neg.f64 im) im) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))) #s(literal 1/2 binary64))
✓	55.2%	(.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))
	27.0%	(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
	51.8%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
	52.9%	(.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))
	5.2%	(.f64 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	52.3%	(.f64 (sqrt.f64 (.f64 (fabs.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 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	55.6%	(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	12.4%	(.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))
✓	17.5%	(.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #s(literal 1/2 binary64))
	49.0%	(.f64 (exp.f64 (.f64 (log.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(literal 1/2 binary64))
	51.7%	(.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
	17.9%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
	39.8%	(.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))))
	5.2%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re)) (sqrt.f64 #s(literal 2 binary64))))
✓	40.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))))
✓	40.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
	3.8%	(.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))))
✓	14.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))
✓	27.2%	(.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 -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (neg.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))))
✓	13.6%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))) #s(literal 1/2 binary64))))
	0.0%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))
	16.4%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
	49.1%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 re im)))) #s(literal 1/2 binary64))))
	48.9%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))) #s(literal 1/2 binary64))))
✓	52.7%	(.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)))))
	48.9%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)) #s(literal 1/2 binary64))))))
✓	49.1%	(.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))))))
	52.8%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) im)) im)))))
	0.0%	#s(approx (* (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)))))

Samples

13.0ms

256×

valid

Compiler

Compiled 1 055 to 663 computations (37.2% saved)

Precisions

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

ival-mult!: 4.0ms (89.4% of total)

ival-sub!: 1.0ms (22.4% of total)

adjust: 0.0ms (0.0% of total)

regimes238.0ms (0.8%)

Memory

-0.1MiB live, 373.1MiB allocated; 30ms collecting garbage

Counts

3 → 1

16 → 2

18 → 3

24 → 3

25 → 4

55 → 4

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

Outputs

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

Outputs

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

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

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

Outputs

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

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

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

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

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 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #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 (* (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 -1/2 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) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))
(.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 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #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))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) im)) im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (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 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))) #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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal 4 binary64) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))))
(.f64 (sqrt.f64 (.f64 (fabs.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 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (.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))))) (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 (neg.f64 im) (/.f64 im re))))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (.f64 (neg.f64 im) im) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (.f64 (neg.f64 im) im) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal -2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (exp.f64 (.f64 (log.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(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 1/2 binary64))) #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) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))) #s(literal 1/2 binary64))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) re)))))
(.f64 (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (.f64 (neg.f64 im) im) re)) #s(literal 1/4 binary64)) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 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 -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 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))))
(.f64 (sqrt.f64 (.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))

Call 7

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 (sqrt.f64 (.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 #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 (* (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 -1/2 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) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))
(.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 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #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))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (+.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) re)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im #s(approx (sqrt (/ 2 im)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) im)) im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(.f64 #s(literal 1/2 binary64) (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 (134-z0z1z2z3z4 #s(literal 1 binary64) re re (neg.f64 im) im)) re))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))) #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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal 4 binary64) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))))
(.f64 (sqrt.f64 (.f64 (fabs.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 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (.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))))) (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 (neg.f64 im) (/.f64 im re))))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (.f64 (neg.f64 im) im) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (.f64 (neg.f64 im) im) re)))) (sqrt.f64 (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (+.f64 im re))) #s(literal -2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (exp.f64 (.f64 (log.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(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re)))) #s(literal 1/2 binary64))) #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) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re)))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re))) #s(literal 1/2 binary64))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ (sqrt (+ ( re re) (* im im))) re) (+.f64 im re))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) re)))))
(.f64 (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (.f64 (neg.f64 im) im) re)) #s(literal 1/4 binary64)) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(approx (* 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 (neg.f64 im) (/.f64 im re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (.f64 im (exp.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (/.f64 (*.f64 (neg.f64 im) im) re)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 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 -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))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(approx (log (* 2 (+ (sqrt (+ (* re re) (* im im))) re))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (+.f64 (.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 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))))))

Outputs

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

Calls

26 calls:

16.0ms	re
15.0ms	(*.f64 im im)
14.0ms	re
14.0ms	im
13.0ms	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Results

Accuracy	Segments	Branch
52.9%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
52.9%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
52.9%	1	`(*.f64 im im)`
52.9%	1	`im`
52.9%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
52.9%	1	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
52.9%	1	`re`
67.4%	2	`re`
63.8%	3	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
63.8%	3	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
73.1%	3	`re`
74.5%	3	`re`
64.9%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
64.9%	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))))`
76.1%	4	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
76.1%	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))))`
76.2%	4	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
76.2%	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))))`
74.5%	3	`re`
62.9%	2	`(*.f64 im im)`
75.2%	4	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
75.2%	4	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
76.2%	4	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
76.2%	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))))`
75.7%	3	`re`
64.5%	3	`im`

Samples

14.0ms

256×

valid

Compiler

Compiled 1 806 to 476 computations (73.6% saved)

Precisions

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

ival-mult!: 4.0ms (88.0% of total)

ival-sub!: 1.0ms (22.0% of total)

adjust: 0.0ms (0.0% of total)

bsearch39.0ms (0.1%)

Memory

3.5MiB live, 49.7MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.361487091562848e-42	3.491153940780838e-40
19.0ms	-3.0482780318480886e+68	-1.1916205090402353e+64

Samples

14.0ms	182×	0	valid
7.0ms	32×	2	valid
3.0ms	8×	3	valid
2.0ms	18×	1	valid

Compiler

Compiled 660 to 535 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-hypot: 8.0ms (49.2% of total)

ival-sqrt: 3.0ms (18.5% of total)

ival-mult!: 3.0ms (18.5% of total)

adjust: 2.0ms (12.3% of total)

ival-add!: 1.0ms (6.2% of total)

bsearch1.0ms (0.0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.2102035704186654e+72	1.417759885263045e+74
0.0ms	3.5343483751652752e-78	6.270397052657884e-72
0.0ms	0.0	3.413611793320193e-148

Compiler

Compiled 32 to 24 computations (25.0% saved)

bsearch1.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.2102035704186654e+72	1.417759885263045e+74
0.0ms	3.5343483751652752e-78	6.270397052657884e-72
0.0ms	0.0	3.413611793320193e-148

Compiler

Compiled 32 to 24 computations (25.0% saved)

bsearch22.0ms (0.1%)

Memory

-17.7MiB live, 28.3MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.361487091562848e-42	3.491153940780838e-40
18.0ms	-31785.308982599912	-1.9959679576432297

Samples

7.0ms	99×	0	valid
3.0ms	16×	2	valid
1.0ms	10×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 612 to 487 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 4.0ms (49.6% of total)

ival-mult!: 2.0ms (24.8% of total)

adjust: 1.0ms (12.4% of total)

ival-sqrt: 1.0ms (12.4% of total)

ival-add!: 1.0ms (12.4% of total)

bsearch3.0ms (0.0%)

Memory

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

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.361487091562848e-42	3.491153940780838e-40
1.0ms	-31785.308982599912	-1.9959679576432297

Compiler

Compiled 612 to 487 computations (20.4% saved)

bsearch1.0ms (0.0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.361487091562848e-42	3.491153940780838e-40

Compiler

Compiled 403 to 231 computations (42.7% saved)

derivations128.0ms (0.5%)

Memory

0.6MiB live, 114.0MiB allocated; 70ms collecting garbage

Stop Event

1×

fuel

Samples

14.0ms

256×

valid

Compiler

Compiled 563 to 87 computations (84.5% saved)

Precisions

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

ival-mult!: 4.0ms (88.0% of total)

ival-sub!: 1.0ms (22.0% of total)

adjust: 0.0ms (0.0% of total)

preprocess696.0ms (2.4%)

Memory

19.7MiB live, 849.6MiB allocated; 103ms collecting garbage

Symmetry

(abs im)

Samples

514.0ms

8 512×

valid

Compiler

Compiled 1 784 to 554 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult!: 138.0ms (79.4% of total)

ival-sub!: 24.0ms (13.8% of total)

adjust: 12.0ms (6.9% of total)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze146.0ms (0.5%)

sample1.3s (4.4%)

preprocess42.0ms (0.1%)

series52.0ms (0.2%)

rewrite933.0ms (3.3%)

eval5.9s (20.7%)

prune61.0ms (0.2%)

series52.0ms (0.2%)

rewrite169.0ms (0.6%)

eval4.1s (14.4%)

prune58.0ms (0.2%)

series97.0ms (0.3%)

rewrite269.0ms (0.9%)

eval13.6s (47.6%)

prune63.0ms (0.2%)

series126.0ms (0.4%)

rewrite202.0ms (0.7%)

eval233.0ms (0.8%)

prune46.0ms (0.2%)

regimes238.0ms (0.8%)

bsearch39.0ms (0.1%)

bsearch1.0ms (0.0%)

bsearch1.0ms (0.0%)

bsearch22.0ms (0.1%)

bsearch3.0ms (0.0%)

bsearch1.0ms (0.0%)

derivations128.0ms (0.5%)

preprocess696.0ms (2.4%)

end0.0ms (0.0%)

Profiling