Metrics for bug366 (missed optimization)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms 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
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
100%	99.9%	0%	0.1%	0%	0%	0%	4

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample786.0ms (26.7%)

Memory

10.0MiB live, 1 055.0MiB allocated; 244ms collecting garbage

Samples

545.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-mult!: 188.0ms (61.2% of total)

ival-sqrt: 64.0ms (20.8% of total)

ival-add!: 53.0ms (17.3% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess29.0ms (1%)

Memory

-15.1MiB live, 30.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	123
1	122	123
2	354	123
3	477	123
4	915	123

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.5%	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 24 to 18 computations (25% saved)

series23.0ms (0.8%)

Memory

34.5MiB live, 34.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1600

Stop Event

1×	iter-limit

Counts

9 → 48

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))
(*.f64 x x)
x
(+.f64 (.f64 y y) (.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z

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

Calls

9 calls:

Time	Variable	Point
3.0ms	x	0
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	z	inf
1.0ms	y	inf

rewrite70.0ms (2.4%)

Memory

-27.8MiB live, 71.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	15	42
1	44	42
2	151	42
3	464	42
4	943	42
0	4116	37

Stop Event

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

Counts

9 → 115

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))
(*.f64 x x)
x
(+.f64 (.f64 y y) (.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z

Outputs
(pow.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))))
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))))
(fabs.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (.f64 z z))))) (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))))
(.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (.f64 z z)))) (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))))
(pow.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 x x (*.f64 z z)))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 y y (*.f64 z z)))
(fma.f64 x x (fma.f64 y y (*.f64 z z)))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 x x (*.f64 z z)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (fma.f64 y y (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y (*.f64 z z)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x (*.f64 z z)))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y (*.f64 z z)))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(sqrt.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 2 binary64)))
(-.f64 (fma.f64 x x (.f64 z z)) (.f64 y (neg.f64 y)))
(-.f64 (fma.f64 y y (.f64 x x)) (.f64 (neg.f64 z) z))
(-.f64 (fma.f64 y y (.f64 z z)) (.f64 x (neg.f64 x)))
(-.f64 (.f64 z z) (neg.f64 (fma.f64 y y (.f64 x x))))
(-.f64 (.f64 y y) (neg.f64 (fma.f64 x x (.f64 z z))))
(-.f64 (.f64 x x) (neg.f64 (fma.f64 y y (.f64 z z))))
(fabs.f64 (neg.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))))
(fabs.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))
(+.f64 (fma.f64 x x (.f64 z z)) (.f64 y y))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 z z))
(+.f64 (fma.f64 y y (.f64 z z)) (.f64 x x))
(+.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))
(+.f64 (.f64 y y) (fma.f64 x x (.f64 z z)))
(+.f64 (.f64 x x) (fma.f64 y y (.f64 z z)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (.f64 (.f64 x (*.f64 x x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
x
(neg.f64 (neg.f64 (fma.f64 y y (*.f64 z z))))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 z z))
(fma.f64 y y (*.f64 z z))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 z z))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 z z))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 y y))
(fma.f64 z z (*.f64 y y))
(-.f64 (.f64 z z) (.f64 y (neg.f64 y)))
(-.f64 (.f64 y y) (.f64 (neg.f64 z) z))
(+.f64 (.f64 z z) (.f64 y y))
(+.f64 (.f64 y y) (.f64 z z))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 y y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 y (*.f64 y y)) y) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(neg.f64 (*.f64 y (neg.f64 y)))
(sqrt.f64 (.f64 (.f64 y (*.f64 y y)) y))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 y (neg.f64 y)))
(fabs.f64 (*.f64 y y))
y
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 z z) z) z) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (.f64 (.f64 (*.f64 z z) z) z))
(fabs.f64 (*.f64 (neg.f64 z) (fabs.f64 z)))
(fabs.f64 (*.f64 z (fabs.f64 z)))
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))
(fabs.f64 (*.f64 (fabs.f64 z) z))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
z

eval17.0ms (0.6%)

Memory: 20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 216 to 599 computations (81.4% saved)

prune9.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	147	9	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	9	157

Accuracy

90.6%

Counts

157 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.5%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
▶	41.0%	(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
	41.5%	(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
▶	80.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
	5.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
▶	5.5%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
▶	0.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
	1.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
▶	1.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 368 to 264 computations (28.3% saved)

series53.0ms (1.8%)

Memory

4.3MiB live, 50.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	403	3561

Stop Event

1×	iter-limit

Counts

30 → 111

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
y
(pow.f64 z #s(literal 2 binary64))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x x)
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))

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

Calls

9 calls:

Time	Variable	Point
14.0ms	x	-inf
5.0ms	z	inf
4.0ms	x	inf
3.0ms	y	inf
3.0ms	x	0

rewrite122.0ms (4.1%)

Memory

-29.8MiB live, 200.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	285
0	54	281
1	147	281
2	714	265
0	4077	238

Stop Event

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

Counts

30 → 1 021

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
y
(pow.f64 z #s(literal 2 binary64))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x x)
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))
(.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)
(.f64 z (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 z (.f64 z z) (.f64 z (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 z z))
(/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)) (*.f64 z z))
(neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal -1 binary64)) z))
(neg.f64 (.f64 z (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(neg.f64 (-.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64)) z) z))
(fma.f64 (.f64 z (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64) z)
(fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) z)
(fma.f64 (.f64 z (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z)) z)
(fma.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (.f64 z z)) z)
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z)
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) (*.f64 #s(literal 1/2 binary64) z) z)
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) z) z)
(fma.f64 z (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)
(-.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) (neg.f64 z))
(-.f64 z (.f64 (neg.f64 (.f64 z (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)))) #s(literal 1/2 binary64)))
(-.f64 z (.f64 (neg.f64 (.f64 z #s(literal 1/2 binary64))) (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z))))
(-.f64 z (.f64 (/.f64 (neg.f64 (fma.f64 y y (.f64 x x))) (.f64 z z)) (.f64 #s(literal 1/2 binary64) z)))
(-.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) z)))
(-.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64)) z))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) z)
(+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z))
(+.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z))
z
(.f64 (fma.f64 z z (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 z) z (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x)))) (*.f64 (neg.f64 z) z))
(/.f64 (+.f64 (fabs.f64 z) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z))) (fabs.f64 z))
(/.f64 (+.f64 (neg.f64 z) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))) z)) (neg.f64 z))
(/.f64 (-.f64 (.f64 (neg.f64 z) z) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (neg.f64 z) z))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 z))) (.f64 (fabs.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))) z) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) z)) (.f64 z #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z))) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 z z))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 z) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (fabs.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))) z) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) z))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 z z)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) #s(literal 2 binary64) (.f64 (fabs.f64 z) #s(literal 2 binary64))) (.f64 (fabs.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))) z) #s(literal 2 binary64) (.f64 (neg.f64 z) #s(literal 2 binary64))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) #s(literal 2 binary64) (.f64 z #s(literal 2 binary64))) (.f64 z #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 z) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)))) (.f64 #s(literal 2 binary64) (fabs.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))) z))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) z (.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z))) (.f64 #s(literal 2 binary64) z))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 z z)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))))) (.f64 #s(literal 2 binary64) (*.f64 z z)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) z)))
(/.f64 (neg.f64 (fma.f64 z z (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 z) z))
(/.f64 (fma.f64 z z (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 z z))
(/.f64 (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)) z)
(neg.f64 (/.f64 (fma.f64 z z (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) z)))
(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64) #s(literal -1 binary64)))
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(fma.f64 (.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (.f64 (fabs.f64 z) #s(literal -1 binary64)) (.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (.f64 (fabs.f64 z) #s(literal -1 binary64)) (.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (.f64 (fabs.f64 z) #s(literal -1 binary64)) (.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 (fabs.f64 z) #s(literal -1 binary64)) (.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 y y))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 z)) (.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 z)) (.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 z)) (.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 z)) (.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 y y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 z z))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 z z))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 z z))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 z z))
(fma.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64) (.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64) (.f64 y y))
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 y y))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 y y))
(fma.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 z z))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 z z))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 z z))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 z z))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) z) (.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) z) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) z) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) z) (.f64 y y))
(fma.f64 (.f64 z z) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 (.f64 z z) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (.f64 z z) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 z z) #s(literal 1 binary64) (.f64 y y))
(fma.f64 #s(literal 1 binary64) (.f64 z z) (.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 #s(literal 1 binary64) (.f64 z z) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (.f64 z z) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 #s(literal 1 binary64) (.f64 z z) (.f64 y y))
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 z z (*.f64 y y))
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 z z))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(fma.f64 y y (*.f64 z z))
(-.f64 (.f64 z z) (.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (fabs.f64 y))))
(-.f64 (.f64 z z) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y))))
(-.f64 (.f64 z z) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z))))
(-.f64 (.f64 y y) (.f64 (neg.f64 z) z))
(+.f64 (.f64 z z) (.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y)))
(+.f64 (.f64 z z) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(+.f64 (.f64 z z) (.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (.f64 z z) (.f64 y y))
(+.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)))
(+.f64 (.f64 y y) (.f64 z z))

eval164.0ms (5.6%)

Memory: 30.7MiB live, 314.8MiB allocated; 53ms collecting garbage
Compiler: Compiled 42 075 to 6 525 computations (84.5% saved)

prune49.0ms (1.7%)

Memory

4.9MiB live, 84.7MiB allocated; 18ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1 179	11	1 190
Fresh	1	3	4
Picked	5	0	5
Done	0	0	0
Total	1 185	14	1 199

Accuracy

95.7%

Counts

1 199 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.5%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	41.0%	(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
▶	84.2%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))
▶	97.4%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
	96.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 y (/.f64 y (.f64 z z))))))))
▶	96.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
	5.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
	5.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))))))
▶	3.5%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
	1.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
	0.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
▶	1.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
	2.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
	6.0%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))

Compiler

Compiled 732 to 490 computations (33.1% saved)

series81.0ms (2.7%)

Memory

28.0MiB live, 122.7MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	3545

Stop Event

1×	iter-limit

Counts

31 → 110

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z)))))))
z
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (*.f64 z z))))))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (*.f64 z z)))))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))
(/.f64 y z)
y
(.f64 x (/.f64 x (.f64 z z)))
x
(/.f64 x (*.f64 z z))
(*.f64 z z)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
(neg.f64 x)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
(.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))
(+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z))
(/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)
(.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z)))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (.f64 z z))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (.f64 z z)))))
(fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))
(/.f64 y (*.f64 z z))

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

Calls

9 calls:

Time	Variable	Point
30.0ms	y	inf
3.0ms	x	inf
3.0ms	z	inf
3.0ms	z	0
3.0ms	z	-inf

rewrite157.0ms (5.3%)

Memory

-13.8MiB live, 269.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	379
0	67	364
1	199	334
2	914	332
0	4089	313

Stop Event

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

Counts

31 → 1 960

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z)))))))
z
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (*.f64 z z))))))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (*.f64 z z)))))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))
(/.f64 y z)
y
(.f64 x (/.f64 x (.f64 z z)))
x
(/.f64 x (*.f64 z z))
(*.f64 z z)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
(neg.f64 x)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
(.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))
(+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z))
(/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)
(.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z)))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (.f64 z z))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (.f64 z z)))))
(fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))
(/.f64 y (*.f64 z z))

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z))
(.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)
(.f64 z (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 z (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64) z)
(fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) z)
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z)
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) (*.f64 #s(literal 1/2 binary64) z) z)
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) z) z)
(fma.f64 z (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)
(-.f64 z (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))))
(-.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64)) z))
(-.f64 z (neg.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z)))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) z)
(+.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z))
z
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 y (.f64 z z)) y) #s(literal 1/2 binary64))) (.f64 z z) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 z z))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 y (.f64 z z)) y) #s(literal 1/2 binary64))) (.f64 z z) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 z z))
(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (/.f64 y z) y) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) z) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 y y) (neg.f64 (fabs.f64 z))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 z))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 z))) (/.f64 (.f64 y y) (neg.f64 (fabs.f64 z))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 z)) (/.f64 (.f64 y y) (fabs.f64 z)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 (neg.f64 y) y) z) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (/.f64 y z))) (fabs.f64 (/.f64 y z)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) z)) (/.f64 (neg.f64 y) z) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 z z))) y (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z z))) x #s(literal 1 binary64)))
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(fma.f64 (.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) z) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z))))
(fma.f64 (.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (*.f64 z z)))))
(fma.f64 (.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 x (*.f64 z z)) x))
(fma.f64 (/.f64 x z) (/.f64 (/.f64 x z) #s(literal 1 binary64)) (.f64 (/.f64 y (.f64 z z)) y))
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 (neg.f64 x)) z) (.f64 (/.f64 y (.f64 z z)) y))
(fma.f64 (/.f64 x z) (/.f64 x (neg.f64 (neg.f64 z))) (.f64 (/.f64 y (.f64 z z)) y))
(fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (/.f64 y (.f64 z z)) y))
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (.f64 z z)) (.f64 (/.f64 y (.f64 z z)) y))
(fma.f64 (fabs.f64 y) (fabs.f64 (/.f64 (fabs.f64 y) (.f64 z z))) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (*.f64 z z)))
(fma.f64 (fabs.f64 y) (fabs.f64 (/.f64 (fabs.f64 y) (.f64 z z))) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z))))
(fma.f64 (fabs.f64 y) (fabs.f64 (/.f64 (fabs.f64 y) (.f64 z z))) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (*.f64 z z)))))
(fma.f64 (fabs.f64 y) (fabs.f64 (/.f64 (fabs.f64 y) (.f64 z z))) (.f64 (/.f64 x (*.f64 z z)) x))
(fma.f64 (fabs.f64 y) (fabs.f64 (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 z z))) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 z z)))
(fma.f64 (fabs.f64 y) (fabs.f64 (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 z z))) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (.f64 z z))))
(fma.f64 (fabs.f64 y) (fabs.f64 (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 z z))) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (.f64 z z)))))
(fma.f64 (fabs.f64 y) (fabs.f64 (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 z z))) (.f64 (/.f64 x (.f64 z z)) x))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (.f64 z z)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (*.f64 z z)))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (.f64 z z)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z))))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (.f64 z z)) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (*.f64 z z)))))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (.f64 z z)) (.f64 (/.f64 x (*.f64 z z)) x))
(fma.f64 (fabs.f64 (/.f64 y z)) (fabs.f64 (/.f64 y z)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 z z)))
(fma.f64 (fabs.f64 (/.f64 y z)) (fabs.f64 (/.f64 y z)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (.f64 z z))))
(fma.f64 (fabs.f64 (/.f64 y z)) (fabs.f64 (/.f64 y z)) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (.f64 z z)))))
(fma.f64 (fabs.f64 (/.f64 y z)) (fabs.f64 (/.f64 y z)) (.f64 (/.f64 x (.f64 z z)) x))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 z z)) (.f64 (/.f64 y (*.f64 z z)) y))
(fma.f64 (neg.f64 y) (/.f64 y (.f64 (neg.f64 z) z)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (*.f64 z z)))
(fma.f64 (neg.f64 y) (/.f64 y (.f64 (neg.f64 z) z)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z))))
(fma.f64 (neg.f64 y) (/.f64 y (.f64 (neg.f64 z) z)) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (*.f64 z z)))))
(fma.f64 (neg.f64 y) (/.f64 y (.f64 (neg.f64 z) z)) (.f64 (/.f64 x (*.f64 z z)) x))
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 z z)))
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (.f64 z z))))
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (.f64 z z)))))
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z) (.f64 (/.f64 x (.f64 z z)) x))
(fma.f64 (/.f64 y (.f64 z z)) (/.f64 y #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (*.f64 z z)))
(fma.f64 (/.f64 y (.f64 z z)) (/.f64 y #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z))))
(fma.f64 (/.f64 y (.f64 z z)) (/.f64 y #s(literal 1 binary64)) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (*.f64 z z)))))
(fma.f64 (/.f64 y (.f64 z z)) (/.f64 y #s(literal 1 binary64)) (.f64 (/.f64 x (*.f64 z z)) x))
(fma.f64 (/.f64 y (.f64 z z)) y (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (*.f64 z z)))
(fma.f64 (/.f64 y (.f64 z z)) y (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z))))
(fma.f64 (/.f64 y (.f64 z z)) y (neg.f64 (.f64 (neg.f64 x) (/.f64 x (*.f64 z z)))))
(fma.f64 (/.f64 y (.f64 z z)) y (.f64 (/.f64 x (*.f64 z z)) x))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (/.f64 y (.f64 z z)) y))
(fma.f64 (neg.f64 x) (/.f64 x (.f64 (neg.f64 z) z)) (.f64 (/.f64 y (*.f64 z z)) y))
(fma.f64 (/.f64 x (.f64 z z)) (/.f64 x #s(literal 1 binary64)) (.f64 (/.f64 y (*.f64 z z)) y))
(fma.f64 (/.f64 x (.f64 z z)) x (.f64 (/.f64 y (*.f64 z z)) y))
(fma.f64 (/.f64 y z) (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 z z)))
(fma.f64 (/.f64 y z) (/.f64 (/.f64 y z) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (.f64 z z))))
(fma.f64 (/.f64 y z) (/.f64 (/.f64 y z) #s(literal 1 binary64)) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (.f64 z z)))))
(fma.f64 (/.f64 y z) (/.f64 (/.f64 y z) #s(literal 1 binary64)) (.f64 (/.f64 x (.f64 z z)) x))
(fma.f64 (/.f64 y z) (/.f64 y (neg.f64 (neg.f64 z))) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 z z)))
(fma.f64 (/.f64 y z) (/.f64 y (neg.f64 (neg.f64 z))) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (.f64 z z))))
(fma.f64 (/.f64 y z) (/.f64 y (neg.f64 (neg.f64 z))) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (.f64 z z)))))
(fma.f64 (/.f64 y z) (/.f64 y (neg.f64 (neg.f64 z))) (.f64 (/.f64 x (.f64 z z)) x))
(fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 z z)))
(fma.f64 (/.f64 y z) (/.f64 y z) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (.f64 z z))))
(fma.f64 (/.f64 y z) (/.f64 y z) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (.f64 z z)))))
(fma.f64 (/.f64 y z) (/.f64 y z) (.f64 (/.f64 x (.f64 z z)) x))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 z z)))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (.f64 z z))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 z z)) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (.f64 z z)))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (/.f64 x (.f64 z z)) x))
(fma.f64 y (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 z z)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 z z)))
(fma.f64 y (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 z z)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (.f64 z z))))
(fma.f64 y (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 z z)) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (.f64 z z)))))
(fma.f64 y (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 z z)) (.f64 (/.f64 x (.f64 z z)) x))
(fma.f64 y (/.f64 y (.f64 z z)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (*.f64 z z)))
(fma.f64 y (/.f64 y (.f64 z z)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z))))
(fma.f64 y (/.f64 y (.f64 z z)) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (*.f64 z z)))))
(fma.f64 y (/.f64 y (.f64 z z)) (.f64 (/.f64 x (*.f64 z z)) x))
(fma.f64 x (/.f64 x (.f64 z z)) (.f64 (/.f64 y (*.f64 z z)) y))
(-.f64 (.f64 (/.f64 y (.f64 z z)) y) (.f64 (neg.f64 x) (/.f64 x (.f64 z z))))
(-.f64 (.f64 (/.f64 x (.f64 z z)) x) (/.f64 (.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)) (.f64 z z)))
(-.f64 (.f64 (/.f64 x (.f64 z z)) x) (/.f64 (neg.f64 (.f64 y y)) (.f64 z z)))
(-.f64 (.f64 (/.f64 x (.f64 z z)) x) (/.f64 (.f64 (neg.f64 y) y) (.f64 z z)))
(-.f64 (.f64 (/.f64 x (.f64 z z)) x) (*.f64 (neg.f64 (fabs.f64 (/.f64 y z))) (fabs.f64 (/.f64 y z))))
(-.f64 (.f64 (/.f64 x (.f64 z z)) x) (.f64 (neg.f64 (/.f64 y (.f64 z z))) y))
(-.f64 (.f64 (/.f64 x (.f64 z z)) x) (.f64 (neg.f64 y) (/.f64 y (.f64 z z))))
(-.f64 (.f64 (/.f64 x (.f64 z z)) x) (neg.f64 (.f64 (/.f64 y (.f64 z z)) y)))
(+.f64 (/.f64 (.f64 (.f64 (/.f64 y (.f64 z z)) y) (.f64 z z)) (.f64 z z)) (.f64 (/.f64 x (*.f64 z z)) x))
(+.f64 (/.f64 (.f64 (.f64 (/.f64 x (.f64 z z)) x) z) z) (.f64 (/.f64 y (*.f64 z z)) y))
(+.f64 (/.f64 (.f64 (.f64 (/.f64 x (.f64 z z)) x) (.f64 z z)) (.f64 z z)) (.f64 (/.f64 y (*.f64 z z)) y))
(+.f64 (/.f64 (.f64 (.f64 (/.f64 y z) y) (.f64 z z)) (.f64 (.f64 z z) z)) (/.f64 (.f64 z (.f64 x x)) (.f64 (*.f64 z z) z)))
(+.f64 (/.f64 (.f64 (.f64 (/.f64 y z) y) (.f64 z z)) (.f64 (.f64 z z) z)) (/.f64 (.f64 (.f64 x x) z) (.f64 (*.f64 z z) z)))
(+.f64 (/.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (/.f64 (.f64 (.f64 z z) (.f64 x x)) (.f64 (.f64 z z) (.f64 z z))))
(+.f64 (/.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (/.f64 (.f64 (.f64 x x) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))
(+.f64 (/.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) z)) (/.f64 (.f64 (.f64 (/.f64 y z) y) (.f64 z z)) (.f64 (*.f64 z z) z)))
(+.f64 (/.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) z)) (/.f64 (.f64 (.f64 z z) (.f64 (/.f64 y z) y)) (.f64 (*.f64 z z) z)))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (/.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (/.f64 (.f64 (.f64 z z) (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) y) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 z z)))
(+.f64 (.f64 (/.f64 y (.f64 z z)) y) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (.f64 z z))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) y) (neg.f64 (.f64 (neg.f64 x) (/.f64 x (.f64 z z)))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) y) (.f64 (/.f64 x (.f64 z z)) x))
(+.f64 (.f64 (/.f64 x (.f64 z z)) x) (.f64 (/.f64 y (.f64 z z)) y))
(*.f64 (/.f64 y (neg.f64 (fabs.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))))
(*.f64 (/.f64 y (neg.f64 (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) z))
(.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 y z))
(.f64 (.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 y (fabs.f64 z)) (/.f64 #s(literal 1 binary64) (fabs.f64 z)))
(.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) y)
(.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z z)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) z))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 z z)))
(/.f64 (.f64 (.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (.f64 (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)) (.f64 (neg.f64 z) z))
(/.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 z)) z))
(/.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 z z))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 z) z))
(/.f64 (.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (/.f64 y (fabs.f64 z))) (neg.f64 (fabs.f64 z)))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z z))
(/.f64 (/.f64 y (fabs.f64 z)) (fabs.f64 z))
(/.f64 (neg.f64 (neg.f64 y)) (*.f64 z z))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 z))
(/.f64 (/.f64 y z) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 y z) z)
(/.f64 y (*.f64 z z))
(neg.f64 (/.f64 y (*.f64 (neg.f64 z) z)))

eval231.0ms (7.8%)

Memory: 9.0MiB live, 436.4MiB allocated; 121ms collecting garbage
Compiler: Compiled 51 833 to 7 583 computations (85.4% saved)

prune45.0ms (1.5%)

Memory

-22.4MiB live, 69.5MiB allocated; 11ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 369	5	1 374
Fresh	1	8	9
Picked	2	3	5
Done	0	0	0
Total	1 372	16	1 388

Accuracy

95.7%

Counts

1 388 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.5%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	41.0%	(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
	84.2%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
	84.2%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 #s(approx (+ ( y y) (* x x)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) z)))
	95.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z)))
	96.5%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 (/.f64 (*.f64 x x) z) z))))))
✓	96.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
▶	99.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
	5.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
▶	5.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))))))
✓	3.5%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
	1.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
▶	0.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
✓	1.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
▶	2.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
	6.0%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))

Compiler

Compiled 770 to 510 computations (33.8% saved)

series58.0ms (2%)

Memory

33.8MiB live, 79.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	455	3948

Stop Event

1×	iter-limit

Counts

34 → 124

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))))
z
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (.f64 (/.f64 x z) x)) z)))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (.f64 (/.f64 x z) x)) z))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)
(fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x))
(/.f64 y z)
y
(*.f64 (/.f64 x z) x)
(/.f64 x z)
x
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
(neg.f64 z)
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x)))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (*.f64 x x))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (*.f64 x x)))))
(fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))
(/.f64 y x)
(.f64 z (/.f64 z (.f64 x x)))
(/.f64 z (*.f64 x x))

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

Calls

9 calls:

Time	Variable	Point
9.0ms	z	0
8.0ms	z	-inf
4.0ms	z	inf
4.0ms	x	inf
4.0ms	x	0

rewrite160.0ms (5.4%)

Memory

-20.8MiB live, 218.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	357
0	73	342
1	230	304
2	1139	302
0	4341	293

Stop Event

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

Counts

34 → 1 776

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))))
z
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (.f64 (/.f64 x z) x)) z)))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (.f64 (/.f64 x z) x)) z))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)
(fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x))
(/.f64 y z)
y
(*.f64 (/.f64 x z) x)
(/.f64 x z)
x
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
(neg.f64 z)
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x)))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (*.f64 x x))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (*.f64 x x)))))
(fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))
(/.f64 y x)
(.f64 z (/.f64 z (.f64 x x)))
(/.f64 z (*.f64 x x))

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))
(.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)
(.f64 z (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) (/.f64 z z) z)
(fma.f64 (/.f64 z (neg.f64 (fabs.f64 z))) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) z)
(fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) z)
(fma.f64 (/.f64 z (neg.f64 (neg.f64 z))) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 z))) z)
(fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 z))) (/.f64 z (neg.f64 (neg.f64 z))) z)
(fma.f64 (/.f64 z (fabs.f64 z)) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) z)
(fma.f64 (/.f64 z (neg.f64 z)) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)) z)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)
(fma.f64 (/.f64 z z) (/.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z)
(fma.f64 (/.f64 z z) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) z)
(fma.f64 (.f64 z (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64) z)
(fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) z)
(fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) (/.f64 z (fabs.f64 z)) z)
(fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 z (neg.f64 z)) z)
(fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) (/.f64 z z) z)
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) (*.f64 #s(literal 1/2 binary64) z) z)
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 z #s(literal 1 binary64)) z)
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z)
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) z) z)
(fma.f64 z (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)
(-.f64 z (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))))
(-.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64)) z))
(-.f64 z (neg.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z)))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) z)
(+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z))
(+.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z))
z
(.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 z #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 z z))
(.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z))
(.f64 (/.f64 z z) (/.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 y y (.f64 x x)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z))) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (.f64 x x)) (neg.f64 z))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 y y (.f64 x x))) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z))) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (neg.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 z))) (.f64 (fabs.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z))) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) z)) (.f64 z #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 z z))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z) (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 y y (.f64 x x)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (.f64 x x)) (neg.f64 z))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z) (.f64 (.f64 (neg.f64 (fma.f64 y y (.f64 x x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (neg.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 z) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (fabs.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 (neg.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z) (.f64 (neg.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) z))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 z z)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 y y (.f64 x x)))) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (.f64 x x)) (neg.f64 z))) #s(literal 2 binary64) (.f64 (neg.f64 z) #s(literal 2 binary64))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 y y (.f64 x x))) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (neg.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (neg.f64 z) #s(literal 2 binary64))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) #s(literal 2 binary64) (.f64 (fabs.f64 z) #s(literal 2 binary64))) (.f64 (fabs.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)) #s(literal 2 binary64) (.f64 (neg.f64 z) #s(literal 2 binary64))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)) #s(literal 2 binary64) (.f64 (neg.f64 z) #s(literal 2 binary64))) (.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 z) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z) #s(literal 2 binary64) (.f64 z #s(literal 2 binary64))) (.f64 z #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 y y (.f64 x x)))))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (.f64 x x)) (neg.f64 z))))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 (fma.f64 y y (.f64 x x))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (neg.f64 z)) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 z) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)))) (.f64 #s(literal 2 binary64) (fabs.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 z) (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))) (.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) z (.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z))) (.f64 #s(literal 2 binary64) z))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 z z)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 z)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (.f64 x x)) (neg.f64 z))))) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (.f64 x x)) z)))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 y y (.f64 x x)))))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) z)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 y y (.f64 x x))))) (.f64 #s(literal 2 binary64) (*.f64 z z)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (*.f64 z z)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 z)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z))) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) z)) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) z)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (.f64 z z) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z))) (neg.f64 z))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 z z) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))) (.f64 z z))
(/.f64 (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)) z)
(neg.f64 (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (fabs.f64 z)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 z))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 z))) (/.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (fabs.f64 z)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 z))) (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (fabs.f64 z))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 z))) (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (neg.f64 z))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 z))) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (fabs.f64 z))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 z))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 z))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (fabs.f64 z)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 z)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 z)) (/.f64 (fma.f64 y y (*.f64 x x)) (fabs.f64 z)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 z)) #s(literal 1 binary64))
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eval267.0ms (9.1%)

Memory: 17.3MiB live, 391.2MiB allocated; 77ms collecting garbage
Compiler: Compiled 68 283 to 10 359 computations (84.8% saved)

prune50.0ms (1.7%)

Memory

6.8MiB live, 98.9MiB allocated; 6ms collecting garbage

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1 856	4	1 860
Fresh	0	8	8
Picked	2	3	5
Done	0	3	3
Total	1 858	18	1 876

Accuracy

95.7%

Counts

1 876 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.5%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	41.0%	(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
	84.2%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
	84.2%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 #s(approx (+ ( y y) (* x x)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) z)))
	95.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z)))
	96.5%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 (/.f64 (*.f64 x x) z) z))))))
✓	96.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
✓	99.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
	5.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
	5.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (/.f64 y x) x) (.f64 (/.f64 z (.f64 x x)) z))))))
	6.0%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 z x) z (*.f64 (/.f64 y x) y)) x)))))
✓	3.5%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
	1.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
✓	0.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
✓	1.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
	2.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) z)))
	2.6%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (/.f64 x z) (.f64 x #s(literal 1/2 binary64)))))
	6.0%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))

Compiler

Compiled 494 to 328 computations (33.6% saved)

regimes275.0ms (9.3%)

Memory

14.3MiB live, 439.9MiB allocated; 35ms collecting garbage

Accuracy

Total -0.6b remaining (-0.3%)

Threshold costs -0.6b (-0.3%)

Counts

5 → 1

8 → 1

9 → 1

11 → 1

16 → 1

19 → 1

30 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))

Call 2

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (/.f64 x z) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) z)))

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))

Call 3

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (/.f64 x z) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) z)))
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))

Outputs
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))

Call 4

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (/.f64 x z) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) z)))
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))

Outputs
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))

Call 5

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (/.f64 x z) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) z)))
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))

Call 6

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (/.f64 x z) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) z)))
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 #s(approx (+ ( y y) (* x x)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) z)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 z x) z (*.f64 (/.f64 y x) y)) x)))))

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z)))

Call 7

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (/.f64 x z) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) z)))
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 #s(approx (+ ( y y) (* x x)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) z)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 z x) z (*.f64 (/.f64 y x) y)) x)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (/.f64 y x) x) (.f64 (/.f64 z (.f64 x x)) z))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 y (/.f64 y (.f64 z z))))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 (/.f64 (*.f64 x x) z) z))))))
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))

Calls

63 calls:

14.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))
11.0ms	z
10.0ms	(*.f64 z z)
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
1.7%	1	`(*.f64 z z)`
1.7%	1	`(+.f64 (.f64 y y) (.f64 z z))`
1.7%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
1.7%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
1.7%	1	`x`
1.7%	1	`(*.f64 x x)`
1.7%	1	`(*.f64 y y)`
1.7%	1	`y`
1.7%	1	`z`
3.5%	1	`(*.f64 y y)`
3.5%	1	`x`
3.5%	1	`y`
3.5%	1	`(*.f64 x x)`
3.5%	1	`(*.f64 z z)`
3.5%	1	`(+.f64 (.f64 y y) (.f64 z z))`
3.5%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
3.5%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
3.5%	1	`z`
41.0%	1	`(*.f64 y y)`
41.0%	1	`(*.f64 x x)`
41.0%	1	`x`
41.0%	1	`y`
41.0%	1	`(*.f64 z z)`
41.0%	1	`(+.f64 (.f64 y y) (.f64 z z))`
41.0%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
41.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
41.0%	1	`z`
41.5%	1	`(*.f64 z z)`
41.5%	1	`(*.f64 y y)`
41.5%	1	`(+.f64 (.f64 y y) (.f64 z z))`
41.5%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
41.5%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
41.5%	1	`z`
41.5%	1	`(*.f64 x x)`
41.5%	1	`x`
41.5%	1	`y`
84.2%	1	`(*.f64 x x)`
84.2%	1	`(*.f64 z z)`
84.2%	1	`(*.f64 y y)`
84.2%	1	`(+.f64 (.f64 y y) (.f64 z z))`
84.2%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
84.2%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
84.2%	1	`x`
84.2%	1	`y`
84.2%	1	`z`
95.9%	1	`(*.f64 z z)`
95.9%	1	`(*.f64 y y)`
95.9%	1	`(+.f64 (.f64 y y) (.f64 z z))`
95.9%	1	`(*.f64 x x)`
95.9%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
95.9%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
95.9%	1	`x`
95.9%	1	`y`
95.9%	1	`z`
99.3%	1	`(*.f64 z z)`
99.3%	1	`(*.f64 y y)`
99.3%	1	`(+.f64 (.f64 y y) (.f64 z z))`
99.3%	1	`(*.f64 x x)`
99.3%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
99.3%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`z`

Compiler

Compiled 1 090 to 481 computations (55.9% saved)

derivations185.0ms (6.3%)

Memory

-38.6MiB live, 134.8MiB allocated; 116ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 159 to 55 computations (65.4% saved)

preprocess116.0ms (3.9%)

Memory

15.4MiB live, 205.5MiB allocated; 24ms collecting garbage

Remove

(abs z)

(abs y)

(abs x)

Compiler

Compiled 1 789 to 1 158 computations (35.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample786.0ms (26.7%)

preprocess29.0ms (1%)

series23.0ms (0.8%)

rewrite70.0ms (2.4%)

eval17.0ms (0.6%)

prune9.0ms (0.3%)

series53.0ms (1.8%)

rewrite122.0ms (4.1%)

eval164.0ms (5.6%)

prune49.0ms (1.7%)

series81.0ms (2.7%)

rewrite157.0ms (5.3%)

eval231.0ms (7.8%)

prune45.0ms (1.5%)

series58.0ms (2%)

rewrite160.0ms (5.4%)

eval267.0ms (9.1%)

prune50.0ms (1.7%)

regimes275.0ms (9.3%)

derivations185.0ms (6.3%)

preprocess116.0ms (3.9%)

end0.0ms (0%)

Profiling