Metrics for FRP.Yampa.Vector3:vector3Rho from Yampa-0.10.2

start0.0ms (0.0%)

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

analyze2.0ms (0.0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	3
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	4

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.1s (28.2%)

Memory

73.0MiB live, 1 599.0MiB allocated; 392ms collecting garbage

Samples

833.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-mult!: 305.0ms (70.2% of total)

ival-sqrt: 76.0ms (17.5% of total)

ival-add!: 52.0ms (12.0% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess43.0ms (1.1%)

Memory

-32.3MiB live, 64.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	123
1	126	123
2	371	123
3	503	123
4	941	123

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(sqrt.64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y)

(sort x z)

(sort y z)

Compiler

Compiled 24 to 18 computations (25.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series25.0ms (0.7%)

Memory

25.1MiB live, 70.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1636

Stop Event

1×	iter-limit

Counts

9 → 48

Calls

Call 1

Inputs
(sqrt.64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z

Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (+ (* x x) (* y y)) (pow.64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 (pow.64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 y #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 (pow.64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (* z z) (pow.64 z #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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 z #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))))))))

Calls

9 calls:

Time	Variable	Point
2.0ms	y	-inf
1.0ms	x	inf
1.0ms	x	0
1.0ms	y	inf
1.0ms	z	inf

rewrite144.0ms (3.7%)

Memory

24.2MiB live, 206.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	15	42
1	78	42
2	318	42
3	1021	42
4	2066	42
0	4027	37

Stop Event

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

Counts

9 → 410

Calls

Call 1

Inputs
(sqrt.64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z

Outputs
(.f64 (pow.64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (neg.f64 (sqrt.64 (fma.f64 z z (fma.f64 y y (.f64 x x)))))) #s(literal 1/4 binary64)) (pow.64 (neg.f64 (sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/4 binary64)))
(.f64 (pow.64 (neg.f64 (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 1/4 binary64)) (pow.64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(.f64 (pow.64 (neg.f64 (sqrt.64 (fma.f64 z z (fma.f64 y y (.f64 x x))))) #s(literal 1/4 binary64)) (pow.64 (.f64 (neg.f64 (sqrt.64 (fma.f64 z z (fma.f64 y y (.f64 x x))))) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
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(exp.64 (*.f64 (log.64 (neg.f64 (fabs.64 y))) #s(literal 2 binary64)))
(exp.64 (.f64 (log.64 (.f64 y y)) #s(literal 1 binary64)))
(exp.64 (*.f64 (log.64 (fabs.64 y)) #s(literal 2 binary64)))
(exp.64 (*.f64 (log.64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.64 (*.f64 (log.64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.64 (neg.f64 (fabs.64 z)) #s(literal 3/2 binary64)) (pow.64 (neg.f64 (fabs.64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (fabs.64 z) #s(literal 3/2 binary64)) (pow.64 (fabs.64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 z) #s(literal 3/2 binary64)) (pow.64 (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.64 z #s(literal 3/2 binary64)) (pow.64 z #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (*.f64 z z) (neg.f64 (fabs.64 z))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (fabs.64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (*.f64 z z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.64 (neg.f64 z) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (*.f64 z z) z) #s(literal 1/2 binary64)) (pow.64 z #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (neg.f64 z) (neg.f64 (fabs.64 z))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 z) (neg.f64 (fabs.64 z))) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 z (neg.f64 (fabs.64 z))) #s(literal 1/2 binary64)) (pow.64 (*.f64 z (neg.f64 (fabs.64 z))) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (neg.f64 z) (fabs.64 z)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 z) (fabs.64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 z (fabs.64 z)) #s(literal 1/2 binary64)) (pow.64 (*.f64 z (fabs.64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (neg.f64 (fabs.64 z)) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (fabs.64 z)) (neg.f64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (fabs.64 z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (fabs.64 z) (neg.f64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (neg.f64 (fabs.64 z)) z) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (fabs.64 z)) z) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (fabs.64 z) z) #s(literal 1/2 binary64)) (pow.64 (*.f64 (fabs.64 z) z) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (neg.f64 z) z) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)))
(.f64 (pow.64 (.f64 (fabs.64 z) (*.f64 z z)) #s(literal 1/2 binary64)) (pow.64 (fabs.64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (fabs.64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.64 (neg.f64 (fabs.64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.64 (.f64 z z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.64 (*.f64 z z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.64 (.f64 z z) #s(literal 0 binary64)) (*.f64 z z))
(*.f64 (pow.64 (neg.f64 (fabs.64 z)) #s(literal 1 binary64)) (pow.64 (neg.f64 (fabs.64 z)) #s(literal 1 binary64)))
(*.f64 (pow.64 (neg.f64 (fabs.64 z)) #s(literal 1 binary64)) (neg.f64 (fabs.64 z)))
(*.f64 (pow.64 (neg.f64 (fabs.64 z)) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (fabs.64 z)) #s(literal 3/2 binary64)))
(.f64 (pow.64 (neg.f64 (fabs.64 z)) #s(literal 1/2 binary64)) (pow.64 (.f64 (neg.f64 (fabs.64 z)) (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (fabs.64 z) #s(literal 1/2 binary64)) (pow.64 (fabs.64 z) #s(literal 3/2 binary64)))
(.f64 (pow.64 (fabs.64 z) #s(literal 1/2 binary64)) (pow.64 (.f64 (fabs.64 z) (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.64 (neg.f64 z) #s(literal 3/2 binary64)))
(.f64 (pow.64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.64 (.f64 (neg.f64 z) (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 z #s(literal 1/2 binary64)) (pow.64 z #s(literal 3/2 binary64)))
(.f64 (pow.64 z #s(literal 1/2 binary64)) (pow.64 (.f64 z (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (fabs.64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.64 (fabs.64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.64 (fabs.64 z) #s(literal 1 binary64)) (pow.64 (fabs.64 z) #s(literal 1 binary64)))
(*.f64 (pow.64 (fabs.64 z) #s(literal 1 binary64)) (fabs.64 z))
(*.f64 (pow.64 (neg.f64 z) #s(literal 1 binary64)) (pow.64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 (pow.64 z #s(literal 1 binary64)) (pow.64 z #s(literal 1 binary64)))
(*.f64 (pow.64 z #s(literal 1 binary64)) z)
(*.f64 (pow.64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.64 z)) (neg.f64 (fabs.64 z)))
(*.f64 (fabs.64 z) (fabs.64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(.f64 (.f64 z z) (pow.64 (neg.f64 (fabs.64 z)) #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.64 (fabs.64 z) #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.64 (neg.f64 z) #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.64 z #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.64 (.f64 (.f64 (*.f64 z z) z) z) #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.64 (*.f64 z z) #s(literal 0 binary64)))
(*.f64 z z)
(fabs.64 (*.f64 (neg.f64 z) (neg.f64 (fabs.64 z))))
(fabs.64 (*.f64 z (neg.f64 (fabs.64 z))))
(fabs.64 (*.f64 (neg.f64 z) (fabs.64 z)))
(fabs.64 (*.f64 z (fabs.64 z)))
(fabs.64 (*.f64 (neg.f64 (fabs.64 z)) (neg.f64 z)))
(fabs.64 (*.f64 (fabs.64 z) (neg.f64 z)))
(fabs.64 (*.f64 (neg.f64 (fabs.64 z)) z))
(fabs.64 (*.f64 (fabs.64 z) z))
(fabs.64 (*.f64 (neg.f64 z) z))
(fabs.64 (*.f64 z z))
(/.f64 (pow.64 (.f64 z z) #s(literal 0 binary64)) (pow.64 (.f64 z z) #s(literal -1 binary64)))
(/.f64 (pow.64 (neg.f64 (fabs.64 z)) #s(literal 1 binary64)) (pow.64 (neg.f64 (fabs.64 z)) #s(literal -1 binary64)))
(/.f64 (pow.64 (fabs.64 z) #s(literal 1 binary64)) (pow.64 (fabs.64 z) #s(literal -1 binary64)))
(/.f64 (pow.64 (neg.f64 z) #s(literal 1 binary64)) (pow.64 (neg.f64 z) #s(literal -1 binary64)))
(/.f64 (pow.64 z #s(literal 1 binary64)) (pow.64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.64 (neg.f64 (fabs.64 z)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.64 (fabs.64 z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.64 (neg.f64 z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.64 z #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.64 (*.f64 z z) #s(literal -1 binary64)))
(/.f64 (fabs.64 z) (pow.64 (*.f64 z z) #s(literal -1/2 binary64)))
(/.f64 (.f64 z z) (pow.64 (.f64 z z) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 z) z))
(pow.64 (pow.64 z #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.64 (.f64 (.f64 (*.f64 z z) z) z) #s(literal 1/2 binary64))
(pow.64 (neg.f64 (fabs.64 z)) #s(literal 2 binary64))
(pow.64 (fabs.64 z) #s(literal 2 binary64))
(pow.64 (neg.f64 z) #s(literal 2 binary64))
(pow.64 (*.f64 z z) #s(literal 1 binary64))
(pow.64 z #s(literal 2 binary64))
(sqrt.64 (.f64 (.f64 (*.f64 z z) z) z))
(exp.64 (.f64 (log.64 (.f64 (.f64 (.f64 z z) z) z)) #s(literal 1/2 binary64)))
(exp.64 (*.f64 (log.64 (neg.f64 (fabs.64 z))) #s(literal 2 binary64)))
(exp.64 (.f64 (log.64 (.f64 z z)) #s(literal 1 binary64)))
(exp.64 (*.f64 (log.64 (fabs.64 z)) #s(literal 2 binary64)))
(exp.64 (*.f64 (log.64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.64 (*.f64 (log.64 z) #s(literal 2 binary64)))
z

eval175.0ms (4.5%)

Memory: -36.8MiB live, 385.7MiB allocated; 98ms collecting garbage
Compiler: Compiled 9 726 to 1 931 computations (80.1% saved)

prune17.0ms (0.4%)

Memory

7.9MiB live, 54.3MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	442	9	451
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	443	9	452

Accuracy

92.2%

Counts

452 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	47.3%	(sqrt.64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
▶	83.6%	#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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))))
	5.2%	#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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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))
▶	1.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
▶	5.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))

Compiler

Compiled 378 to 270 computations (28.6% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2
2
-1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series54.0ms (1.4%)

Memory

-0.1MiB live, 143.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	484	4071

Stop Event

1×	iter-limit

Counts

28 → 125

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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))
(+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))
(pow.64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.64 y #s(literal 2 binary64))
y
(pow.64 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)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))
(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))
(+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))

Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+.f64 (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (+ (pow x 2) (pow y 2)) (pow.64 y #s(literal 2 binary64)))
#s(approx (+ (pow x 2) (pow y 2)) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (sqrt.64 (pow.64 y #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (+.f64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (sqrt.64 (pow.64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (+.f64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (+.f64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 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 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))) x))
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#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))
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#s(approx (sqrt (+ (pow x 2) (pow y 2))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 4 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 6 binary64)) (pow.64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 (pow.64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))
#s(approx y y)
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (sqrt.64 (pow.64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (+.f64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (sqrt.64 (pow.64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (+.f64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (+.f64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 (pow.64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 x #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.64 z #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))))
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#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.64 z #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 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.64 z #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (+.f64 (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))
#s(approx (+ (pow y 2) (pow z 2)) (pow.64 z #s(literal 2 binary64)))
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#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) z)))
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#s(approx (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (.f64 (pow.64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (/.f64 (pow.64 z #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))))
#s(approx (+ (pow y 2) (pow z 2)) (*.f64 (pow.64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow x 2) (pow y 2))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 6 binary64)) (pow.64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 (pow.64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 z #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 z #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (.f64 (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))) (pow.64 z #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (.f64 (pow.64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (/.f64 (pow.64 y #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (+ (pow y 2) (pow z 2)) (*.f64 (pow.64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))

Calls

9 calls:

Time	Variable	Point
6.0ms	y	inf
5.0ms	z	0
4.0ms	x	inf
3.0ms	x	0
2.0ms	y	0

rewrite265.0ms (6.9%)

Memory

-27.3MiB live, 359.2MiB allocated; 135ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	269
0	50	265
1	235	265
2	1151	249
0	4086	184

Stop Event

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

Counts

28 → 1 069

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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))
(+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))
(pow.64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.64 y #s(literal 2 binary64))
y
(pow.64 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)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))
(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))
(+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))

Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) z)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z))) (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) z)) z)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z) z)) z)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) z)) z)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) 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 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 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))))) (*.f64 z z))
(/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) z)) (*.f64 z z))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z)) (.f64 z z)) (-.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) z))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))) (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))))) (+.f64 z (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #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)))
(/.f64 (-.f64 (.f64 z z) (.f64 (neg.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z)) (neg.f64 (.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 (pow.64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (pow.64 z #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) z))))
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(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (fabs.64 y))) (neg.f64 (neg.f64 (fabs.64 y))) (*.f64 z z))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 z z))
(fma.f64 (fabs.64 (.f64 (neg.f64 z) #s(literal -1 binary64))) (fabs.64 z) (.f64 y y))
(fma.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) z (.f64 y y))
(fma.f64 (neg.f64 (fabs.64 z)) (neg.f64 (fabs.64 z)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.64 y)) (neg.f64 (fabs.64 y)) (*.f64 z 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 y y))
(fma.f64 (fabs.64 y) (fabs.64 y) (*.f64 z z))
(fma.f64 (fabs.64 z) (fabs.64 (.f64 #s(literal -1 binary64) (neg.f64 z))) (.f64 y y))
(fma.f64 (fabs.64 z) (fabs.64 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 #s(literal -1 binary64) (.f64 (neg.f64 z) z) (.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 y y))
(fma.f64 z (.f64 #s(literal -1 binary64) (neg.f64 z)) (.f64 y y))
(fma.f64 z z (*.f64 y y))
(fma.f64 y y (*.f64 z z))
(-.f64 (.f64 z z) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 z) z))
(+.f64 (.f64 z z) (.f64 y y))
(+.f64 (.f64 y y) (.f64 z z))

eval350.0ms (9.1%)

Memory: -10.4MiB live, 983.4MiB allocated; 92ms collecting garbage
Compiler: Compiled 52 779 to 7 663 computations (85.5% saved)

prune40.0ms (1.0%)

Memory

24.1MiB live, 121.0MiB allocated; 11ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1 440	8	1 448
Fresh	2	2	4
Picked	5	0	5
Done	0	0	0
Total	1 447	10	1 457

Accuracy

99.7%

Counts

1 457 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	5.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 y x))
	84.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) z)))
▶	99.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
	5.7%	#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 z x) (/.f64 z x) (.f64 y (/.f64 y (.f64 x x))))))))
	3.4%	#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))
▶	5.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (fma.f64 y y (*.f64 x x))))
	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
▶	1.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))

Compiler

Compiled 430 to 288 computations (33.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2
-1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series40.0ms (1.0%)

Memory

-3.2MiB live, 135.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	431	3236

Stop Event

1×	iter-limit

Counts

25 → 101

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 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)))))))
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(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(literal 1/2 binary64)
(fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))
y
(/.f64 y (*.f64 z z))
(*.f64 z z)
(.f64 x (/.f64 x (.f64 z z)))
x
(/.f64 x (*.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 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (fma.f64 y y (*.f64 x x))))
(sqrt.64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))

Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))
#s(approx (+ (* y (/ y (* z z))) (* x (/ x (* z z)))) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))
#s(approx (+ (* y (/ y (* z z))) (* x (/ x (* z z)))) (+.f64 (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (* x (/ x (* z z))) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))
#s(approx x x)
#s(approx (/ x (* z z)) (/.f64 x (pow.64 z #s(literal 2 binary64))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* y y) (* x x))) (sqrt.64 (pow.64 y #s(literal 2 binary64))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (sqrt.64 (pow.64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (+ (* y y) (* x x)) (pow.64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.64 x #s(literal 2 binary64)))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))) (pow.64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (+ (* y (/ y (* z z))) (* x (/ x (* z z)))) (.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.64 z #s(literal 2 binary64))) (/.f64 (pow.64 y #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 4 binary64)) (pow.64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 4 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 6 binary64)) (pow.64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 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) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 4 binary64)) (pow.64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 4 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 6 binary64)) (pow.64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 (pow.64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))
#s(approx y y)
#s(approx (/ y (* z z)) (/.f64 y (pow.64 z #s(literal 2 binary64))))
#s(approx (* -1 y) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* y y) (* x x))) (sqrt.64 (pow.64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (sqrt.64 (pow.64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 (pow.64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 y #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))) (pow.64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (+ (* y (/ y (* z z))) (* x (/ x (* z z)))) (.f64 (pow.64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.64 z #s(literal 2 binary64))) (/.f64 (pow.64 x #s(literal 2 binary64)) (.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 6 binary64)) (pow.64 y #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 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) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 6 binary64)) (pow.64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 (pow.64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) z)))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))) z))
#s(approx z z)
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))
#s(approx (+ (* y (/ y (* z z))) (* x (/ x (* z z)))) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))
#s(approx (* z z) (pow.64 z #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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 z #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))

Calls

9 calls:

Time	Variable	Point
4.0ms	x	-inf
3.0ms	z	-inf
2.0ms	x	inf
2.0ms	z	0
2.0ms	x	0

rewrite234.0ms (6.1%)

Memory

44.0MiB live, 595.4MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	218
0	48	208
1	230	188
2	1007	186
0	4066	142

Stop Event

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

Counts

25 → 1 678

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 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)))))))
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(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(literal 1/2 binary64)
(fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))
y
(/.f64 y (*.f64 z z))
(*.f64 z z)
(.f64 x (/.f64 x (.f64 z z)))
x
(/.f64 x (*.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 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (fma.f64 y y (*.f64 x x))))
(sqrt.64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))

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 (+.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z))) (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) z)) z)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z) z)) z)
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(fma.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 x x (*.f64 z z)))
(fma.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 (neg.f64 y) #s(literal -1 binary64)) (-.f64 (.f64 x x) (.f64 (neg.f64 z) z)))
(fma.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y (fma.f64 x x (.f64 z z)))
(fma.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y (-.f64 (.f64 x x) (*.f64 (neg.f64 z) z)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 y)) (.f64 #s(literal -1 binary64) (neg.f64 y)) (fma.f64 x x (*.f64 z z)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 y)) (.f64 #s(literal -1 binary64) (neg.f64 y)) (-.f64 (.f64 x x) (.f64 (neg.f64 z) z)))
(fma.f64 (neg.f64 (fabs.64 x)) (neg.f64 (fabs.64 x)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.64 z)) (neg.f64 (fabs.64 z)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.64 y)) (neg.f64 (fabs.64 y)) (fma.f64 x x (*.f64 z z)))
(fma.f64 (neg.f64 (fabs.64 y)) (neg.f64 (fabs.64 y)) (-.f64 (.f64 x x) (.f64 (neg.f64 z) z)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 x x (*.f64 z z)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 (.f64 x x) (.f64 (neg.f64 z) z)))
(fma.f64 (neg.f64 (sqrt.64 (fma.f64 y y (.f64 x x)))) (neg.f64 (sqrt.64 (fma.f64 y y (.f64 x x)))) (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (neg.f64 (sqrt.64 (fma.f64 y y (.f64 x x)))) (neg.f64 (sqrt.64 (fma.f64 y y (.f64 x x)))) (*.f64 z z))
(fma.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64) (fma.f64 x x (.f64 z z)))
(fma.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64) (-.f64 (.f64 x x) (*.f64 (neg.f64 z) z)))
(fma.f64 (fabs.64 y) (fabs.64 (.f64 #s(literal -1 binary64) (neg.f64 y))) (fma.f64 x x (.f64 z z)))
(fma.f64 (fabs.64 y) (fabs.64 (.f64 #s(literal -1 binary64) (neg.f64 y))) (-.f64 (.f64 x x) (*.f64 (neg.f64 z) z)))
(fma.f64 (fabs.64 y) (fabs.64 y) (fma.f64 x x (*.f64 z z)))
(fma.f64 (fabs.64 y) (fabs.64 y) (-.f64 (.f64 x x) (.f64 (neg.f64 z) z)))
(fma.f64 (fabs.64 x) (fabs.64 x) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fabs.64 z) (fabs.64 z) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x (*.f64 z z)))
(fma.f64 (neg.f64 y) (neg.f64 y) (-.f64 (.f64 x x) (.f64 (neg.f64 z) z)))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x)))
(fma.f64 (sqrt.64 (fma.f64 y y (.f64 x x))) (sqrt.64 (fma.f64 y y (.f64 x x))) (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (sqrt.64 (fma.f64 y y (.f64 x x))) (sqrt.64 (fma.f64 y y (.f64 x x))) (*.f64 z z))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y) (fma.f64 x x (.f64 z z)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y) (-.f64 (.f64 x x) (*.f64 (neg.f64 z) z)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 z z (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (fma.f64 x x (.f64 z z)))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (-.f64 (.f64 x x) (*.f64 (neg.f64 z) z)))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (fma.f64 x x (.f64 z z)))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (-.f64 (.f64 x x) (*.f64 (neg.f64 z) z)))
(fma.f64 y (.f64 #s(literal -1 binary64) (neg.f64 y)) (fma.f64 x x (.f64 z z)))
(fma.f64 y (.f64 #s(literal -1 binary64) (neg.f64 y)) (-.f64 (.f64 x x) (*.f64 (neg.f64 z) z)))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
(fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 z) z)))
(fma.f64 x x (fma.f64 z z (*.f64 y y)))
(pow.64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64))
(pow.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))
(pow.64 (sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 2 binary64))
(-.f64 (fma.f64 z z (.f64 x x)) (.f64 (neg.f64 y) y))
(-.f64 (fma.f64 z z (.f64 y y)) (.f64 (neg.f64 x) x))
(-.f64 (fma.f64 y y (.f64 x x)) (.f64 (neg.f64 z) z))
(-.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 y) y) (*.f64 z z)))
(-.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 (neg.f64 z) z)))
(-.f64 (.f64 x x) (neg.f64 (fma.f64 z z (.f64 y y))))
(-.f64 (.f64 z z) (neg.f64 (fma.f64 y y (.f64 x x))))
(-.f64 (.f64 y y) (-.f64 (.f64 (neg.f64 x) x) (*.f64 z z)))
(-.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 z) z)))
(sqrt.64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(+.f64 (fma.f64 z z (.f64 x x)) (.f64 y y))
(+.f64 (fma.f64 z z (.f64 y y)) (.f64 x x))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 (neg.f64 (neg.f64 z)) z))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 z z))
(+.f64 (.f64 x x) (fma.f64 z z (.f64 y y)))
(+.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))
(+.f64 (.f64 y y) (fma.f64 x x (.f64 z z)))
(+.f64 (.f64 y y) (-.f64 (.f64 x x) (*.f64 (neg.f64 z) z)))

eval618.0ms (16.0%)

Memory: -7.2MiB live, 1 468.0MiB allocated; 278ms collecting garbage
Compiler: Compiled 63 537 to 8 938 computations (85.9% saved)

prune43.0ms (1.1%)

Memory

-3.4MiB live, 138.5MiB allocated; 14ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 890	2	1 892
Fresh	1	4	5
Picked	2	3	5
Done	0	0	0
Total	1 893	9	1 902

Accuracy

99.7%

Counts

1 902 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.7%	(sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
▶	5.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 y x))
▶	99.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) #s(literal 1 binary64))))
	5.7%	#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 z x) (/.f64 z x) (.f64 y (/.f64 y (.f64 x x))))))))
▶	3.4%	#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))))
✓	5.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (fma.f64 y y (*.f64 x x))))
▶	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
▶	1.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y))
✓	1.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))

Compiler

Compiled 339 to 227 computations (33.0% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series36.0ms (0.9%)

Memory

14.9MiB live, 107.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	442	3369

Stop Event

1×	iter-limit

Counts

16 → 98

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))) x))
#s(approx x x)
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* y y) (* x x))) (sqrt.64 (pow.64 y #s(literal 2 binary64))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (sqrt.64 (pow.64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 y #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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))) (pow.64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (.f64 (pow.64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 z #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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 4 binary64)) (pow.64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 4 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 6 binary64)) (pow.64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 4 binary64)) (pow.64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 4 binary64)) (pow.64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 6 binary64)) (pow.64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 (pow.64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))))))
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y))
#s(approx y y)
#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.64 z #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 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.64 z #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (sqrt.64 (pow.64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (sqrt.64 (pow.64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (+.f64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 (pow.64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (pow.64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 y #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))) (pow.64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 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.64 y #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (.f64 (pow.64 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.64 z #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (.f64 (pow.64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 6 binary64)) (pow.64 y #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 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) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 x #s(literal 4 binary64)) (pow.64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 x #s(literal 6 binary64)) (pow.64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 (pow.64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) z)))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))) z))
#s(approx z z)
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))
#s(approx (neg z) (*.f64 #s(literal -1 binary64) z))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 z #s(literal 2 binary64)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 z #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 z #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (.f64 (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))) (pow.64 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.64 z #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (.f64 (pow.64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.64 y #s(literal 2 binary64)) (.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z))))))) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))

Calls

9 calls:

Time	Variable	Point
4.0ms	z	inf
2.0ms	x	0
2.0ms	y	-inf
1.0ms	z	-inf
1.0ms	y	inf

rewrite159.0ms (4.1%)

Memory

-18.3MiB live, 280.0MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	205
0	44	205
1	252	193
2	1161	177
0	4279	143

Stop Event

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

Counts

16 → 124

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 #s(approx (+ 1 ( 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) #s(literal 1 binary64)) z))
(.f64 #s(approx (+ 1 ( 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) #s(literal 1 binary64)) z)
(.f64 z #s(approx (+ 1 ( 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) #s(literal 1 binary64)))
z
#s(approx (+ 1 (* 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y))
(neg.f64 y)
y
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
(neg.f64 z)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)) x)
(.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))
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))) (sqrt.64 (fma.f64 y y (*.f64 x x))))
(.f64 (sqrt.64 (sqrt.64 (fma.f64 y y (.f64 x x)))) (sqrt.64 (sqrt.64 (fma.f64 y y (*.f64 x x)))))
(.f64 (pow.64 (fma.f64 y y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(fabs.64 (neg.f64 (neg.f64 (sqrt.64 (fma.f64 y y (*.f64 x x))))))
(fabs.64 (neg.f64 (sqrt.64 (fma.f64 y y (*.f64 x x)))))
(fabs.64 (sqrt.64 (fma.f64 y y (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.64 (fma.f64 y y (*.f64 x x)) #s(literal -1/2 binary64)))
(pow.64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(sqrt.64 (fma.f64 y y (*.f64 x x)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 y))) (neg.f64 (neg.f64 (fabs.64 x))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 y))) (neg.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 y))) (neg.f64 (fabs.64 x)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 y))) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 y))) (fabs.64 x))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 y))) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 y))) x)
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (fabs.64 x))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (fabs.64 x)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (fabs.64 x))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) x)
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 x))) (neg.f64 (neg.f64 (fabs.64 y))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 x))) (neg.f64 (fabs.64 y)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 x))) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 x))) (fabs.64 y))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 x))) (neg.f64 y))
(hypot.f64 (neg.f64 (neg.f64 (fabs.64 x))) y)
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fabs.64 y))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (fabs.64 y)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (fabs.64 y))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 y))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) y)
(hypot.f64 (neg.f64 (fabs.64 y)) (neg.f64 (neg.f64 (fabs.64 x))))
(hypot.f64 (neg.f64 (fabs.64 y)) (neg.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (neg.f64 (fabs.64 y)) (neg.f64 (fabs.64 x)))
(hypot.f64 (neg.f64 (fabs.64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (fabs.64 y)) (fabs.64 x))
(hypot.f64 (neg.f64 (fabs.64 y)) (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.64 y)) x)
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (fabs.64 x))))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fabs.64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (fabs.64 x))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 y)) x)
(hypot.f64 (neg.f64 (fabs.64 x)) (neg.f64 (neg.f64 (fabs.64 y))))
(hypot.f64 (neg.f64 (fabs.64 x)) (neg.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (neg.f64 (fabs.64 x)) (neg.f64 (fabs.64 y)))
(hypot.f64 (neg.f64 (fabs.64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (fabs.64 x)) (fabs.64 y))
(hypot.f64 (neg.f64 (fabs.64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (fabs.64 x)) y)
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fabs.64 y))))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.64 y))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (neg.f64 x)) y)
(hypot.f64 (fabs.64 x) (neg.f64 (neg.f64 (fabs.64 y))))
(hypot.f64 (fabs.64 x) (neg.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (fabs.64 x) (neg.f64 (fabs.64 y)))
(hypot.f64 (fabs.64 x) (neg.f64 (neg.f64 y)))
(hypot.f64 (fabs.64 x) (fabs.64 y))
(hypot.f64 (fabs.64 x) (neg.f64 y))
(hypot.f64 (fabs.64 x) y)
(hypot.f64 (fabs.64 y) (neg.f64 (neg.f64 (fabs.64 x))))
(hypot.f64 (fabs.64 y) (neg.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (fabs.64 y) (neg.f64 (fabs.64 x)))
(hypot.f64 (fabs.64 y) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.64 y) (fabs.64 x))
(hypot.f64 (fabs.64 y) (neg.f64 x))
(hypot.f64 (fabs.64 y) x)
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 (fabs.64 y))))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 x) (fabs.64 y))
(hypot.f64 (neg.f64 x) (neg.f64 y))
(hypot.f64 (neg.f64 x) y)
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 (fabs.64 x))))
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (neg.f64 y) (neg.f64 (fabs.64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 y) (fabs.64 x))
(hypot.f64 (neg.f64 y) (neg.f64 x))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 y (neg.f64 (neg.f64 (fabs.64 x))))
(hypot.f64 y (neg.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 y (neg.f64 (fabs.64 x)))
(hypot.f64 y (neg.f64 (neg.f64 x)))
(hypot.f64 y (fabs.64 x))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(hypot.f64 x (neg.f64 (neg.f64 (fabs.64 y))))
(hypot.f64 x (neg.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 x (neg.f64 (fabs.64 y)))
(hypot.f64 x (neg.f64 (neg.f64 y)))
(hypot.f64 x (fabs.64 y))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x y)
(exp.64 (.f64 (log.64 (fma.f64 y y (.f64 x x))) #s(literal 1/2 binary64)))

eval81.0ms (2.1%)

Memory: 18.2MiB live, 156.3MiB allocated; 46ms collecting garbage
Compiler: Compiled 6 717 to 758 computations (88.7% saved)

prune17.0ms (0.4%)

Memory

-5.0MiB live, 36.1MiB allocated; 13ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	209	9	218

Accuracy

99.7%

Counts

218 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.7%	(sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
✓	5.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 y x))
✓	99.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) #s(literal 1 binary64))))
	5.7%	#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 z x) (/.f64 z x) (.f64 y (/.f64 y (.f64 x x))))))))
✓	3.4%	#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))))
✓	5.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (fma.f64 y y (*.f64 x x))))
✓	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
✓	1.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y))
✓	1.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))

Compiler

Compiled 192 to 129 computations (32.8% saved)

regimes194.0ms (5.0%)

Memory

5.3MiB live, 386.0MiB allocated; 43ms collecting garbage

Counts

6 → 1

7 → 1

13 → 1

20 → 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 y))
#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 y))
#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))))

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 y))
#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))) (.f64 z #s(approx (+ 1 ( 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (fma.f64 y y (*.f64 x x))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 y x))
(sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(sqrt.64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) z)))

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

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 y))
#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))) (.f64 z #s(approx (+ 1 ( 1/2 (+ (* y (/ y (* z z))) (* x (/ x (* z z)))))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (fma.f64 y y (*.f64 x x))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 y x))
(sqrt.64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(sqrt.64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x 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 (/.f64 z x) (/.f64 z x) (.f64 y (/.f64 y (.f64 x x))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64)))))
(sqrt.64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 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.64 y #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 z #s(literal 2 binary64))) (pow.64 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.64 x #s(literal 2 binary64)) (pow.64 y #s(literal 2 binary64))) (pow.64 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) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))

Calls

36 calls:

29.0ms	(+.f64 (.f64 x x) (.f64 y y))
18.0ms	(*.f64 z z)
10.0ms	y
6.0ms	z
6.0ms	x

Results

Accuracy	Segments	Branch
1.6%	1	`(*.f64 y y)`
1.6%	1	`(+.f64 (.f64 x x) (.f64 y y))`
1.6%	1	`y`
1.6%	1	`(*.f64 z z)`
1.6%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
1.6%	1	`(sqrt.64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
1.6%	1	`z`
1.6%	1	`(*.f64 x x)`
1.6%	1	`x`
3.4%	1	`y`
3.4%	1	`z`
3.4%	1	`(*.f64 z z)`
3.4%	1	`(*.f64 y y)`
3.4%	1	`(*.f64 x x)`
3.4%	1	`(+.f64 (.f64 x x) (.f64 y y))`
3.4%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
3.4%	1	`(sqrt.64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
3.4%	1	`x`
99.2%	1	`(*.f64 z z)`
99.2%	1	`(*.f64 y y)`
99.2%	1	`(*.f64 x x)`
99.2%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.2%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.2%	1	`(sqrt.64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.5%	1	`(*.f64 z z)`
99.5%	1	`(*.f64 y y)`
99.5%	1	`(*.f64 x x)`
99.5%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.5%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.5%	1	`(sqrt.64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`

Compiler

Compiled 609 to 282 computations (53.7% saved)

derivations37.0ms (1.0%)

Memory

18.5MiB live, 65.0MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 116 to 45 computations (61.2% saved)

preprocess195.0ms (5.0%)

Memory

-5.1MiB live, 522.4MiB allocated; 71ms collecting garbage

Symmetry

(sort x y)

(sort x z)

Compiler

Compiled 2 740 to 1 637 computations (40.3% saved)

end0.0ms (0.0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze2.0ms (0.0%)

sample1.1s (28.2%)

preprocess43.0ms (1.1%)

sample0.0ms (0.0%)

series25.0ms (0.7%)

rewrite144.0ms (3.7%)

eval175.0ms (4.5%)

prune17.0ms (0.4%)

sample0.0ms (0.0%)

series54.0ms (1.4%)

rewrite265.0ms (6.9%)

eval350.0ms (9.1%)

prune40.0ms (1.0%)

sample0.0ms (0.0%)

series40.0ms (1.0%)

rewrite234.0ms (6.1%)

eval618.0ms (16.0%)

prune43.0ms (1.1%)

sample0.0ms (0.0%)

series36.0ms (0.9%)

rewrite159.0ms (4.1%)

eval81.0ms (2.1%)

prune17.0ms (0.4%)

regimes194.0ms (5.0%)

derivations37.0ms (1.0%)

preprocess195.0ms (5.0%)

end0.0ms (0.0%)

Profiling