Metrics for math.sqrt on complex, real part

start0.0ms (0%)

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

analyze112.0ms (2.3%)

Memory

39.0MiB live, 85.1MiB allocated; 14ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.5s (31.7%)

Memory

5.3MiB live, 1 279.6MiB allocated; 411ms collecting garbage

Samples

615.0ms	6 197×	0	valid
267.0ms	791×	2	valid
191.0ms	496×	3	valid
115.0ms	772×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 949.0ms

ival-hypot: 576.0ms (60.7% of total)

ival-mult!: 139.0ms (14.6% of total)

ival-sqrt: 133.0ms (14% of total)

adjust: 62.0ms (6.5% of total)

ival-add!: 39.0ms (4.1% of total)

Bogosity

preprocess50.0ms (1%)

Memory

12.7MiB live, 59.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	92
1	215	92

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Symmetry

(abs im)

Compiler

Compiled 30 to 24 computations (20% saved)

series231.0ms (4.8%)

Memory

-7.3MiB live, 315.4MiB allocated; 90ms collecting garbage

Counts

12 → 122

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
7.0ms	re	inf
6.0ms	im	0
5.0ms	im	inf
5.0ms	re	0
4.0ms	re	-inf

rewrite153.0ms (3.2%)

Memory

-3.1MiB live, 143.9MiB allocated; 103ms collecting garbage

Counts

12 → 56

Calls

Call 1

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

Outputs
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
im
(*.f64 im im)
(fabs.f64 im)
(+.f64 (cosh.f64 (log.f64 im)) (sinh.f64 (log.f64 im)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 3 binary64))))
im
(*.f64 im im)
(fabs.f64 im)
(+.f64 (cosh.f64 (log.f64 im)) (sinh.f64 (log.f64 im)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 3 binary64))))

eval32.0ms (0.7%)

Memory: 1.7MiB live, 49.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 292 to 898 computations (83% saved)

prune11.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	121	15	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	16	137

Accuracy

89.4%

Counts

137 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.5%	(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	6.5%	(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	41.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
	32.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))) re))))
▶	57.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (+ (sqrt (+ (* re re) (* im im))) re) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))))))
	23.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
▶	56.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
	11.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)))))
	14.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	3.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
▶	56.2%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) im)))))
▶	4.2%	(*.f64 #s(literal 1/2 binary64) re)
	6.5%	(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
	6.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))

Compiler

Compiled 523 to 420 computations (19.7% saved)

series194.0ms (4.1%)

Memory

11.3MiB live, 291.4MiB allocated; 43ms collecting garbage

Counts

23 → 111

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
4.0ms	im	-inf
4.0ms	im	0
2.0ms	re	-inf
2.0ms	im	inf
1.0ms	re	inf

rewrite184.0ms (3.8%)

Memory

-11.8MiB live, 213.0MiB allocated; 78ms collecting garbage

Counts

23 → 75

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx 2 #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx 2 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) #s(approx 2 #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(approx 2 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx 2 #s(literal 2 binary64))))
(sqrt.f64 #s(approx 2 #s(literal 2 binary64)))
#s(approx 2 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
(*.f64 #s(literal 1/2 binary64) #s(approx 2 #s(literal 2 binary64)))
#s(approx 2 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
im

eval22.0ms (0.4%)

Memory: -5.3MiB live, 39.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 4 811 to 796 computations (83.5% saved)

prune10.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	118	5	123
Fresh	0	10	10
Picked	2	3	5
Done	0	1	1
Total	120	19	139

Accuracy

89.5%

Counts

139 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.5%	(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	6.5%	(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	41.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
	32.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))) re))))
▶	58.0%	(.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))) (+.f64 im re))))))
	3.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 re im))))
▶	8.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 im im))))
	23.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
✓	56.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
	14.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 1 binary64) im))))
	11.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)))))
	14.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	3.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
▶	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
▶	6.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im (sqrt.f64 (/.f64 im im)))))
✓	4.2%	(*.f64 #s(literal 1/2 binary64) re)
	6.5%	(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
▶	6.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))

Compiler

Compiled 620 to 485 computations (21.8% saved)

series918.0ms (19.1%)

Memory

-10.5MiB live, 157.2MiB allocated; 1.6s collecting garbage

Counts

26 → 103

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite202.0ms (4.2%)

Memory

-45.1MiB live, 109.3MiB allocated; 46ms collecting garbage

Counts

26 → 70

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx 2 #s(approx 2 #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx 2 #s(approx 2 #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) #s(approx 2 #s(approx 2 #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im
#s(approx 2 #s(approx 2 #s(literal 2 binary64)))
#s(approx 2 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx 2 (.f64 #s(literal -2 binary64) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx 2 (*.f64 #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx 2 (*.f64 #s(literal -2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx 2 #s(literal 2 binary64))))
(sqrt.f64 #s(approx 2 #s(literal 2 binary64)))
#s(approx 2 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im
(*.f64 #s(literal 1/2 binary64) #s(approx 2 #s(literal 2 binary64)))
#s(approx 2 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
re
im

eval57.0ms (1.2%)

Memory: -23.5MiB live, 21.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 620 to 741 computations (84% saved)

prune17.0ms (0.4%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	10	10
Picked	1	4	5
Done	0	4	4
Total	116	19	135

Accuracy

89.5%

Counts

135 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.5%	(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	6.5%	(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	41.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
▶	32.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))) re))))
✓	58.0%	(.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))) (+.f64 im re))))))
	3.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 re im))))
✓	8.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 im im))))
▶	23.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
✓	56.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
	14.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 1 binary64) im))))
	11.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)))))
	14.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	3.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
▶	6.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ im im)) #s(literal 1 binary64)))))
✓	4.2%	(*.f64 #s(literal 1/2 binary64) re)
▶	6.5%	(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	6.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
▶	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))

Compiler

Compiled 556 to 436 computations (21.6% saved)

series246.0ms (5.1%)

Memory

-20.7MiB live, 121.9MiB allocated; 44ms collecting garbage

Counts

33 → 133

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
10.0ms	im	-inf
3.0ms	im	0
2.0ms	im	inf
2.0ms	re	inf
2.0ms	re	-inf

rewrite219.0ms (4.6%)

Memory

-5.8MiB live, 132.8MiB allocated; 31ms collecting garbage

Counts

33 → 95

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(approx 1/2 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(approx 1/2 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(approx 1/2 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(+.f64 (sqrt.f64 #s(approx 1/2 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx 1/2 #s(literal 1/2 binary64)))
#s(approx 1/2 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
re
(.f64 #s(literal 1/2 binary64) #s(approx 1/2 (.f64 #s(literal 1/2 binary64) #s(approx 1/2 #s(literal 1/2 binary64)))))
#s(approx 1/2 (*.f64 #s(literal 1/2 binary64) #s(approx 1/2 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) #s(approx 1/2 #s(literal 1/2 binary64)))
#s(approx 1/2 #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx 1/2 (.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx 1/2 (*.f64 #s(literal 4 binary64) #s(literal 1/2 binary64))))
#s(approx 1/2 (*.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 4 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx 1/2 (.f64 (.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))) (fabs.f64 (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (-.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (-.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))) (fabs.f64 (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (-.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (-.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))
#s(literal -2 binary64)
(neg.f64 (neg.f64 #s(literal -2 binary64)))

eval37.0ms (0.8%)

Memory: 24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 405 to 1 046 computations (83.7% saved)

prune14.0ms (0.3%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Pruning

25 alts after pruning (12 fresh and 13 done)

	Pruned	Kept	Total
New	170	7	177
Fresh	1	5	6
Picked	0	5	5
Done	0	8	8
Total	171	25	196

Accuracy

89.5%

Counts

196 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.5%	(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.7%	(.f64 re #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ im im)) #s(literal 1 binary64)))))
	4.2%	(*.f64 re #s(literal 1 binary64))
	6.3%	(.f64 #s(literal 2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ im im)) #s(literal 1 binary64)))))
	6.5%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	41.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
✓	32.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))) re))))
✓	58.0%	(.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))) (+.f64 im re))))))
	3.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 re im))))
✓	8.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 im im))))
✓	23.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 4 binary64) re))))
✓	56.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))
	14.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 1 binary64) im))))
	11.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)))))
	14.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
	3.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))))))
✓	0.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal -2 binary64) im))))
✓	6.3%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ im im)) #s(literal 1 binary64)))))
	6.5%	(.f64 #s(literal 1/2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 #s(literal 1/2 binary64) #s(approx 1/2 #s(literal 1/2 binary64)))))
✓	4.2%	(*.f64 #s(literal 1/2 binary64) re)
✓	6.5%	(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	6.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
	1.8%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (/.f64 (neg.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
	1.8%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (*.f64 (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))))))
✓	0.0%	#s(approx (* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal -2 binary64) im)))))

Compiler

Compiled 453 to 356 computations (21.4% saved)

regimes336.0ms (7%)

Memory

8.2MiB live, 340.1MiB allocated; 102ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

4 → 2

12 → 2

13 → 2

14 → 2

25 → 3

26 → 4

29 → 4

Calls

Call 1

Inputs
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Outputs
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Call 2

Inputs
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) re)

Outputs
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Call 3

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

Outputs
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))

Call 4

Inputs
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 re #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) #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 #s(literal 1/2 binary64) #s(approx 1/2 #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 (/ im im)) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ im im)) #s(literal 1 binary64)))))
(.f64 re #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ im im)) #s(literal 1 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 1 binary64) im))))

Outputs
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 1 binary64) im))))

Call 5

Inputs
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 re #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) #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 #s(literal 1/2 binary64) #s(approx 1/2 #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 (/ im im)) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ im im)) #s(literal 1 binary64)))))
(.f64 re #s(approx (sqrt ( 2 (+ (sqrt (+ (* re re) (* im im))) re))) (*.f64 im #s(approx (sqrt (/ im im)) #s(literal 1 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 1 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))

Outputs
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx ( 2 (+ (sqrt (+ (* re re) (* im im))) re)) (*.f64 #s(literal 2 binary64) im))))

Call 6

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

Outputs

(*.f64 #s(literal 1/2 binary64) #s(literal 0 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 4 binary64) re))))

Call 7

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

Call 8

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

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

Calls

48 calls:

32.0ms	(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
25.0ms	(*.f64 im im)
24.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
16.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
14.0ms	re

Results

Accuracy	Segments	Branch
6.5%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
6.5%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
6.5%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
6.5%	1	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
6.5%	1	`(*.f64 im im)`
6.5%	1	`im`
6.5%	1	`re`
9.0%	2	`re`
6.5%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
6.5%	1	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
6.5%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
6.5%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
8.9%	2	`(*.f64 im im)`
8.9%	2	`im`
9.0%	2	`re`
14.2%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
14.2%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
16.1%	2	`(*.f64 im im)`
14.2%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
14.2%	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))))`
16.2%	2	`im`
16.4%	2	`re`
56.4%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
56.4%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
56.4%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
56.4%	1	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
56.4%	1	`(*.f64 im im)`
56.4%	1	`im`
58.1%	2	`re`
67.2%	3	`re`
63.4%	2	`(*.f64 im im)`
63.7%	2	`im`
58.0%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
58.0%	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))))`
58.0%	1	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
58.0%	1	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
69.0%	4	`re`
72.1%	4	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
72.1%	4	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
72.0%	4	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
72.0%	4	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
70.3%	3	`(*.f64 im im)`
74.1%	4	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
74.1%	4	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
74.9%	4	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
74.9%	4	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
73.4%	4	`re`
70.3%	3	`im`

Compiler

Compiled 907 to 456 computations (49.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.4116560336553167e+69	3.4454622730689436e+69
0.0ms	8.373347487792117e-104	3.317809196216394e-91
0.0ms	0.0	2.1336575033155766e-150

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.655758756790691e+139	4.748484110056565e+139
0.0ms	5.866722223399331e-175	1.5393758776691358e-158
0.0ms	3.1133440717190077e-279	2.819742102615611e-225

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch60.0ms (1.3%)

Memory

-35.6MiB live, 51.7MiB allocated; 29ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.32132557695993e-17	4.3534287978219626e-15
35.0ms	-5.781751224757541e+242	-2.280644298620708e+235

Samples

15.0ms	39×	3	valid
7.0ms	134×	0	valid
7.0ms	36×	2	valid
5.0ms	47×	1	valid

Compiler

Compiled 482 to 436 computations (9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-hypot: 12.0ms (42.6% of total)

ival-sqrt: 8.0ms (28.4% of total)

ival-mult!: 4.0ms (14.2% of total)

adjust: 3.0ms (10.7% of total)

ival-add!: 1.0ms (3.6% of total)

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.781751224757541e+242	-2.280644298620708e+235

Compiler

Compiled 216 to 212 computations (1.9% saved)

bsearch16.0ms (0.3%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1.934813176057517e+167	-6.75371552171205e+166

Samples

4.0ms	16×	3	valid
3.0ms	18×	2	valid
3.0ms	24×	1	valid
1.0ms	22×	0	valid

Compiler

Compiled 128 to 124 computations (3.1% saved)

Precisions

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

ival-hypot: 4.0ms (46.1% of total)

ival-mult!: 2.0ms (23.1% of total)

adjust: 1.0ms (11.5% of total)

ival-sqrt: 1.0ms (11.5% of total)

ival-add!: 1.0ms (11.5% of total)

bsearch17.0ms (0.4%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.3986744179998389e+150	-3.520823107485381e+149

Samples

5.0ms	21×	3	valid
4.0ms	22×	2	valid
2.0ms	17×	1	valid
1.0ms	20×	0	valid

Compiler

Compiled 48 to 74 computations (-54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-hypot: 5.0ms (51.7% of total)

ival-mult!: 2.0ms (20.7% of total)

adjust: 1.0ms (10.3% of total)

ival-sqrt: 1.0ms (10.3% of total)

ival-add!: 1.0ms (10.3% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.3986744179998389e+150	-3.520823107485381e+149

Compiler

Compiled 48 to 69 computations (-43.8% saved)

derivations18.0ms (0.4%)

Memory

-39.4MiB live, 3.8MiB allocated; 26ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 387 to 85 computations (78% saved)

preprocess122.0ms (2.5%)

Memory: 25.7MiB live, 128.4MiB allocated; 36ms collecting garbage
Remove: (abs im)
Compiler: Compiled 1 215 to 494 computations (59.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze112.0ms (2.3%)

sample1.5s (31.7%)

preprocess50.0ms (1%)

series231.0ms (4.8%)

rewrite153.0ms (3.2%)

eval32.0ms (0.7%)

prune11.0ms (0.2%)

series194.0ms (4.1%)

rewrite184.0ms (3.8%)

eval22.0ms (0.4%)

prune10.0ms (0.2%)

series918.0ms (19.1%)

rewrite202.0ms (4.2%)

eval57.0ms (1.2%)

prune17.0ms (0.4%)

series246.0ms (5.1%)

rewrite219.0ms (4.6%)

eval37.0ms (0.8%)

prune14.0ms (0.3%)

regimes336.0ms (7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch60.0ms (1.3%)

bsearch2.0ms (0%)

bsearch16.0ms (0.3%)

bsearch17.0ms (0.4%)

bsearch1.0ms (0%)

derivations18.0ms (0.4%)

preprocess122.0ms (2.5%)

end0.0ms (0%)

Profiling