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

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
100%	99.9%	0%	0.1%	0%	0%	0%	4

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.2s (10.4%)

Memory

5.6MiB live, 430.6MiB allocated; 164ms collecting garbage

Samples

745.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-mult!: 170.0ms (47.2% of total)

ival-sqrt: 153.0ms (42.5% of total)

ival-add!: 35.0ms (9.7% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess92.0ms (0.8%)

Memory

4.0MiB live, 49.2MiB allocated; 8ms 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
5	4348	123

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.8%	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 18 to 18 computations (0% saved)

series212.0ms (1.9%)

Memory

21.3MiB live, 79.9MiB allocated; 20ms collecting garbage

Counts

9 → 48

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z)
2.0ms	x	@	0	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z)
2.0ms	y	@	-inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z)
2.0ms	y	@	inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z)
2.0ms	x	@	-inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z)

rewrite1.7s (15.3%)

Memory

-2.4MiB live, 276.4MiB allocated; 46ms collecting garbage

Counts

9 → 123

Calls

Call 1

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

eval21.0ms (0.2%)

Memory: 22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 612 to 624 computations (61.3% saved)

prune18.0ms (0.2%)

Memory

-30.1MiB live, 13.0MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	154	10	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	10	165

Accuracy

92.6%

Counts

165 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.8%	(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
▶	43.8%	(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
▶	43.6%	(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
▶	82.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
	5.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
	5.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
▶	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
	1.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
▶	1.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
	5.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))

Compiler

Compiled 294 to 294 computations (0% saved)

series274.0ms (2.5%)

Memory

24.4MiB live, 126.0MiB allocated; 27ms collecting garbage

Counts

27 → 81

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))
4.0ms	x	@	inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))
4.0ms	x	@	0	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))
3.0ms	y	@	inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))
3.0ms	x	@	-inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))

rewrite1.4s (12.9%)

Memory

1.6MiB live, 652.9MiB allocated; 143ms collecting garbage

Counts

27 → 1 125

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

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

eval573.0ms (5.1%)

Memory: 29.3MiB live, 212.5MiB allocated; 60ms collecting garbage
Compiler: Compiled 15 736 to 6 702 computations (57.4% saved)

prune202.0ms (1.8%)

Memory

-27.7MiB live, 41.1MiB allocated; 224ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1 412	13	1 425
Fresh	1	4	5
Picked	5	0	5
Done	0	0	0
Total	1 418	17	1 435

Accuracy

94.8%

Counts

1 435 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.8%	(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
▶	43.8%	(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (.f64 y y)) (.f64 z z)))
	43.6%	(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))))
	97.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (.f64 z z)) y (/.f64 (.f64 x x) (*.f64 z z)))))))
	97.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 (.f64 x x) (.f64 z z)))))))
▶	82.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (.f64 z z)) x (/.f64 (.f64 y y) (*.f64 z z)))))))
	82.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (.f64 y y) (.f64 z z)))))))
▶	81.3%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 (.f64 y y) (.f64 z z)))))))
	2.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
▶	99.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
	5.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
	5.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
	1.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
▶	1.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
	4.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
	2.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))

Compiler

Compiled 642 to 628 computations (2.2% saved)

series338.0ms (3%)

Memory

-36.9MiB live, 63.0MiB allocated; 18ms collecting garbage

Counts

31 → 107

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
11.0ms	y	@	-inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* y y) y (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))) 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))) (/ x (* z z)) (/ (* y y) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))))) (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))) (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))) (neg (fabs x)) (fabs x) (* (neg (fabs x)) (/ 1 (* z z))) (/ 1 (* z z)))
8.0ms	x	@	inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* y y) y (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))) 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))) (/ x (* z z)) (/ (* y y) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))))) (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))) (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))) (neg (fabs x)) (fabs x) (* (neg (fabs x)) (/ 1 (* z z))) (/ 1 (* z z)))
5.0ms	x	@	0	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* y y) y (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))) 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))) (/ x (* z z)) (/ (* y y) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))))) (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))) (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))) (neg (fabs x)) (fabs x) (* (neg (fabs x)) (/ 1 (* z z))) (/ 1 (* z z)))
5.0ms	x	@	-inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* y y) y (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))) 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))) (/ x (* z z)) (/ (* y y) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))))) (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))) (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))) (neg (fabs x)) (fabs x) (* (neg (fabs x)) (/ 1 (* z z))) (/ 1 (* z z)))
4.0ms	z	@	0	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* y y) y (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z)))) 1/2 (+ (* (/ x (* z z)) x) (/ (* y y) (* z z))) (/ x (* z z)) (/ (* y y) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))))) (* 1/2 (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z)))) (+ (* (neg (fabs x)) (* (neg (fabs x)) (/ 1 (* z z)))) (/ (* y y) (* z z))) (neg (fabs x)) (fabs x) (* (neg (fabs x)) (/ 1 (* z z))) (/ 1 (* z z)))

rewrite1.9s (16.6%)

Memory

34.6MiB live, 707.3MiB allocated; 159ms collecting garbage

Counts

31 → 2 700

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* y y) (+ (* z z) (* x x)))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (* y y) (* x x)) (* z z)))) #s(literal 1 binary64))))
(.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (* y y) (* x x)) (* z z)))) #s(literal 1 binary64)))
z
(*.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) z)
(+.f64 z (*.f64 #s(literal 0 binary64) z))
(+.f64 z (*.f64 z #s(literal 0 binary64)))
(/.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))
(fma.f64 z #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) z))
(fma.f64 z #s(literal 1 binary64) (*.f64 z #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 z #s(literal 0 binary64)))
(neg.f64 (neg.f64 z))
#s(approx (+ 1 (* 1/2 (/ (+ (* y y) (* x x)) (* z z)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (*.f64 z z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) z))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (fabs.f64 z))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) z)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (fabs.f64 z)) (fabs.f64 z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 z)) (neg.f64 z))
(.f64 (neg.f64 #s(literal 1 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z z)))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (neg.f64 #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 z z) (.f64 z z))
(/.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z z)) z)
(/.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (.f64 z z)) (neg.f64 (*.f64 z z)))
(/.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 z z)) (neg.f64 z))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) (.f64 z z)) (fabs.f64 z))
(/.f64 (+.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) (exp.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(cosh.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))))
(exp.f64 #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 z z) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 z z) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 z z) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 z)) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 z)) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 z)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (.f64 (/.f64 #s(literal 1 binary64) z) z) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 0 binary64))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (.f64 z z)) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (.f64 z z)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z z)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z z)) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z z)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (fabs.f64 z))) (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (fabs.f64 z))) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z) z #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (fabs.f64 z)) (fabs.f64 z) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (neg.f64 z)) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (fabs.f64 z))) (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z) z (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (fabs.f64 z)) (fabs.f64 z) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (neg.f64 z)) (neg.f64 z) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (fabs.f64 z))) (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z) z (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (fabs.f64 z)) (fabs.f64 z) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (neg.f64 z)) (neg.f64 z) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
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(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (/.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z z))) (neg.f64 #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z z))) (neg.f64 #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) (/.f64 #s(literal 1 binary64) (fabs.f64 z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) (/.f64 #s(literal 1 binary64) (fabs.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (*.f64 z z) #s(literal -1 binary64))
(pow.f64 (fabs.f64 z) (neg.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) (neg.f64 #s(literal 2 binary64)))
(pow.f64 z (neg.f64 #s(literal 2 binary64)))
(pow.f64 z (+.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(pow.f64 z (*.f64 #s(literal 2 binary64) #s(literal -1 binary64)))

eval420.0ms (3.8%)

Memory: 27.4MiB live, 248.3MiB allocated; 59ms collecting garbage
Compiler: Compiled 34 353 to 13 287 computations (61.3% saved)

prune70.0ms (0.6%)

Memory

-17.4MiB live, 75.1MiB allocated; 7ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	2 629	5	2 634
Fresh	2	10	12
Picked	2	3	5
Done	0	0	0
Total	2 633	18	2 651

Accuracy

94.8%

Counts

2 651 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.8%	(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
✓	43.8%	(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (.f64 y y)) (.f64 z z)))
	43.6%	(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))))
	39.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z) z) (.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z) z) (.f64 z z))) (/.f64 (.f64 y y) (.f64 z z)))))))
	98.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (.f64 z z)) x (.f64 (/.f64 y (*.f64 z z)) y))))))
▶	98.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (.f64 z z)) x (.f64 (/.f64 y z) (/.f64 y z)))))))
	82.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (.f64 y y) (.f64 z z)))))))
▶	81.3%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) x) x (/.f64 (.f64 y y) (.f64 z z)))))))
	39.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) z))))
	2.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
✓	99.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
	5.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
	5.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
	1.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
▶	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
✓	1.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
▶	4.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
	2.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))

Compiler

Compiled 669 to 645 computations (3.6% saved)

series284.0ms (2.5%)

Memory

-7.3MiB live, 180.8MiB allocated; 31ms collecting garbage

Counts

34 → 83

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))) 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))) (/ x (* z z)) x (* z z) (* (/ y z) (/ y z)) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (* z z) (+ (* x x) (* y y)))) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))) (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))) (* (/ 1 (* z z)) x) (/ 1 (* z z)) (/ (* y y) (* z z)))
4.0ms	z	@	-inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))) 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))) (/ x (* z z)) x (* z z) (* (/ y z) (/ y z)) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (* z z) (+ (* x x) (* y y)))) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))) (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))) (* (/ 1 (* z z)) x) (/ 1 (* z z)) (/ (* y y) (* z z)))
4.0ms	y	@	inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))) 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))) (/ x (* z z)) x (* z z) (* (/ y z) (/ y z)) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (* z z) (+ (* x x) (* y y)))) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))) (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))) (* (/ 1 (* z z)) x) (/ 1 (* z z)) (/ (* y y) (* z z)))
4.0ms	z	@	inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))) 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))) (/ x (* z z)) x (* z z) (* (/ y z) (/ y z)) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (* z z) (+ (* x x) (* y y)))) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))) (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))) (* (/ 1 (* z z)) x) (/ 1 (* z z)) (/ (* y y) (* z z)))
3.0ms	y	@	-inf	((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z)))) 1/2 (+ (* (/ x (* z z)) x) (* (/ y z) (/ y z))) (/ x (* z z)) x (* z z) (* (/ y z) (/ y z)) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (* z z) (+ (* x x) (* y y)))) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))))) (+ 1 (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))))) (* 1/2 (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z)))) (+ (* (* (/ 1 (* z z)) x) x) (/ (* y y) (* z z))) (* (/ 1 (* z z)) x) (/ 1 (* z z)) (/ (* y y) (* z z)))

rewrite1.8s (15.9%)

Memory

49.9MiB live, 1 564.9MiB allocated; 277ms collecting garbage

Counts

34 → 2 995

Calls

Call 1

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

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

eval374.0ms (3.4%)

Memory: -21.4MiB live, 348.6MiB allocated; 206ms collecting garbage
Compiler: Compiled 23 501 to 9 586 computations (59.2% saved)

prune112.0ms (1%)

Memory

17.2MiB live, 74.2MiB allocated; 16ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 966	3	1 969
Fresh	1	9	10
Picked	1	4	5
Done	0	3	3
Total	1 968	19	1 987

Accuracy

94.8%

Counts

1 987 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.8%	(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
✓	43.8%	(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (.f64 y y)) (.f64 z z)))
	43.6%	(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))))
	39.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z) z) (.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z) z) (.f64 z z))) (/.f64 (.f64 y y) (.f64 z z)))))))
	82.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (.f64 z z)) x (/.f64 (.f64 y y) (*.f64 z z)))))))
✓	98.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (.f64 z z)) x (.f64 (/.f64 y z) (/.f64 y z)))))))
	82.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (.f64 y y) (.f64 z z)))))))
✓	81.3%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) x) x (/.f64 (.f64 y y) (.f64 z z)))))))
	39.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) z))))
	2.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
✓	99.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
	5.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
	5.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
	1.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
✓	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
✓	1.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
	4.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) z) y)))
	4.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 y y))))
	2.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))

Compiler

Compiled 686 to 537 computations (21.7% saved)

regimes120.0ms (1.1%)

Memory

-24.2MiB live, 68.5MiB allocated; 8ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

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

Calls

9 calls:

11.0ms	(*.f64 z z)
10.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
10.0ms	(+.f64 (.f64 x x) (.f64 y y))
10.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
99.0%	1	`(*.f64 z z)`
99.0%	1	`(*.f64 y y)`
99.0%	1	`(*.f64 x x)`
99.0%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.0%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.0%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
99.0%	1	`x`
99.0%	1	`y`
99.0%	1	`z`

Compiler

Compiled 31 to 44 computations (-41.9% saved)

regimes18.0ms (0.2%)

Memory

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

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

9 calls:

2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
2.0ms	(+.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
1.7%	1	`(*.f64 z z)`
1.7%	1	`(*.f64 y y)`
1.7%	1	`(+.f64 (.f64 x x) (.f64 y y))`
1.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
1.7%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
1.7%	1	`(*.f64 x x)`
1.7%	1	`x`
1.7%	1	`y`
1.7%	1	`z`

Compiler

Compiled 31 to 44 computations (-41.9% saved)

derivations0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 31 to 25 computations (19.4% saved)

preprocess101.0ms (0.9%)

Memory

6.5MiB live, 52.9MiB allocated; 3ms collecting garbage

Remove

(abs z)

(abs y)

(abs x)

Compiler

Compiled 334 to 328 computations (1.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (10.4%)

preprocess92.0ms (0.8%)

series212.0ms (1.9%)

rewrite1.7s (15.3%)

eval21.0ms (0.2%)

prune18.0ms (0.2%)

series274.0ms (2.5%)

rewrite1.4s (12.9%)

eval573.0ms (5.1%)

prune202.0ms (1.8%)

series338.0ms (3%)

rewrite1.9s (16.6%)

eval420.0ms (3.8%)

prune70.0ms (0.6%)

series284.0ms (2.5%)

rewrite1.8s (15.9%)

eval374.0ms (3.4%)

prune112.0ms (1%)

regimes120.0ms (1.1%)

regimes18.0ms (0.2%)

derivations0.0ms (0%)

preprocess101.0ms (0.9%)

end0.0ms (0%)

Profiling