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

start0.0ms (0.0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0.0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample942.0ms (27.2%)

Memory

10.6MiB live, 1 253.1MiB allocated; 347ms collecting garbage

Samples

686.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-mult!: 216.0ms (63.9% of total)

ival-sqrt: 90.0ms (26.6% of total)

ival-add!: 31.0ms (9.2% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess34.0ms (1.0%)

Memory

-15.6MiB live, 74.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.3%	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y)

(sort x z)

(sort y z)

Compiler

Compiled 24 to 18 computations (25.0% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series34.0ms (1.0%)

Memory

16.2MiB live, 68.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1636

Stop Event

1×	iter-limit

Counts

9 → 48

Calls

Call 1

Inputs
(sqrt.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
3.0ms	x	0
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	z	inf
1.0ms	y	inf

rewrite150.0ms (4.3%)

Memory

-12.4MiB live, 282.0MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

9 → 410

Calls

Call 1

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

eval60.0ms (1.7%)

Memory: 28.0MiB live, 164.4MiB allocated; 27ms collecting garbage
Compiler: Compiled 9 726 to 1 931 computations (80.1% saved)

prune15.0ms (0.4%)

Memory

-3.8MiB live, 42.3MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

88.8%

Counts

452 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
▶	40.3%	(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
	39.4%	(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)))))
▶	79.7%	#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))
	1.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
▶	1.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 368 to 264 computations (28.3% saved)

sample0.0ms (0.0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
2
-1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series69.0ms (2.0%)

Memory

-10.6MiB live, 130.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	403	3601

Stop Event

1×	iter-limit

Counts

30 → 111

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
13.0ms	z	inf
6.0ms	x	inf
3.0ms	y	inf
3.0ms	x	0
2.0ms	z	0

rewrite174.0ms (5.0%)

Memory

14.6MiB live, 388.6MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	285
0	54	281
1	254	281
2	1218	281
0	4052	250

Stop Event

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

Counts

30 → 1 037

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

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

eval190.0ms (5.5%)

Memory: 33.1MiB live, 398.2MiB allocated; 94ms collecting garbage
Compiler: Compiled 47 362 to 7 182 computations (84.8% saved)

prune40.0ms (1.2%)

Memory

17.9MiB live, 108.9MiB allocated; 10ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1 232	11	1 243
Fresh	1	3	4
Picked	5	0	5
Done	0	0	0
Total	1 238	14	1 252

Accuracy

95.7%

Counts

1 252 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	40.3%	(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
▶	79.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
	82.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (.f64 x x)) z) #s(literal 1 binary64))))
▶	98.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
	97.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 y (/.f64 y (.f64 z z))))))))
▶	97.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
	5.0%	#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)))))))
	5.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))))))
	5.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (.f64 x x)) (.f64 y (/.f64 y (*.f64 x x))))))))
▶	3.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
	1.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
▶	1.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))

Compiler

Compiled 708 to 460 computations (35.0% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series58.0ms (1.7%)

Memory

-20.8MiB live, 121.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	3420

Stop Event

1×	iter-limit

Counts

31 → 102

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
6.0ms	y	-inf
3.0ms	z	inf
3.0ms	x	inf
3.0ms	y	inf
3.0ms	z	0

rewrite177.0ms (5.1%)

Memory

-3.7MiB live, 394.1MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	389
0	68	340
1	387	340
2	1590	338
0	4212	325

Stop Event

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

Counts

31 → 2 443

Calls

Call 1

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

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

eval231.0ms (6.7%)

Memory: 11.1MiB live, 489.3MiB allocated; 151ms collecting garbage
Compiler: Compiled 48 657 to 7 082 computations (85.4% saved)

prune42.0ms (1.2%)

Memory

-20.0MiB live, 120.2MiB allocated; 12ms collecting garbage

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 281	4	1 285
Fresh	2	7	9
Picked	2	3	5
Done	0	0	0
Total	1 285	14	1 299

Accuracy

95.7%

Counts

1 299 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
▶	40.3%	(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
✓	79.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
▶	82.5%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) (/.f64 z z) z))
▶	99.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
	5.0%	#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)))))))
	5.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))))))
	5.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (.f64 x x)) (.f64 y (/.f64 y (*.f64 x x))))))))
✓	3.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
	1.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
▶	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
✓	1.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
▶	82.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (+ (* (* (/ (+ (* y y) (* x x)) (* z z)) 1/2) z) z) (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
	96.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (+ (* (* (/ (+ (* y y) (* x x)) (* z z)) 1/2) z) z) (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))

Compiler

Compiled 657 to 419 computations (36.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2
2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series71.0ms (2.0%)

Memory

20.2MiB live, 158.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	3243

Stop Event

1×	iter-limit

Counts

33 → 103

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
19.0ms	z	-inf
9.0ms	y	inf
3.0ms	z	inf
3.0ms	z	0
2.0ms	y	-inf

rewrite223.0ms (6.5%)

Memory

-6.8MiB live, 407.2MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	332
0	69	318
1	360	294
2	1623	294
0	4511	280

Stop Event

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

Counts

33 → 2 784

Calls

Call 1

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

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

eval455.0ms (13.1%)

Memory: 19.9MiB live, 621.8MiB allocated; 254ms collecting garbage
Compiler: Compiled 86 429 to 10 766 computations (87.5% saved)

prune53.0ms (1.5%)

Memory

18.3MiB live, 111.0MiB allocated; 6ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	2 325	3	2 328
Fresh	1	5	6
Picked	2	3	5
Done	1	2	3
Total	2 329	13	2 342

Accuracy

95.7%

Counts

2 342 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
✓	40.3%	(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
✓	99.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
	5.0%	#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)))))))
	5.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (.f64 x x))))))))
	5.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (.f64 x x)) (.f64 y (/.f64 y (*.f64 x x))))))))
✓	3.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
	1.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
✓	0.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
✓	1.6%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
	99.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (+ (* (* (/ (+ (* y y) (* x x)) (* z z)) 1/2) z) z) (fma.f64 (*.f64 (/.f64 y z) y) #s(literal 1/2 binary64) z)))
	57.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (+ (* (* (/ (+ (* y y) (* x x)) (* z z)) 1/2) z) z) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) y))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) y))))
	98.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (+ (* (* (/ (+ (* y y) (* x x)) (* z z)) 1/2) z) z) #s(approx (+ z (* 1/2 (/ (pow y 2) z))) z)))

Compiler

Compiled 361 to 224 computations (38.0% saved)

regimes201.0ms (5.8%)

Memory

-6.4MiB live, 290.3MiB allocated; 93ms collecting garbage

Counts

8 → 1

17 → 1

28 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

27 calls:

49.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
13.0ms	(*.f64 y y)
10.0ms	y
9.0ms	(+.f64 (.f64 x x) (.f64 y y))
8.0ms	z

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f64 z z)`
98.2%	1	`(*.f64 y y)`
98.2%	1	`(*.f64 x x)`
98.2%	1	`(+.f64 (.f64 x x) (.f64 y y))`
98.2%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
98.2%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
98.2%	1	`x`
98.2%	1	`y`
98.2%	1	`z`
99.1%	1	`(*.f64 z z)`
99.1%	1	`(*.f64 y y)`
99.1%	1	`(*.f64 x x)`
99.1%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.1%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.1%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.2%	1	`(*.f64 z z)`
99.2%	1	`(*.f64 y y)`
99.2%	1	`(*.f64 x x)`
99.2%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.2%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.2%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`

Compiler

Compiled 890 to 296 computations (66.7% saved)

derivations81.0ms (2.3%)

Memory

22.4MiB live, 113.2MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 112 to 38 computations (66.1% saved)

preprocess159.0ms (4.6%)

Memory

-27.7MiB live, 208.7MiB allocated; 48ms collecting garbage

Symmetry

(abs x)

(abs y)

(abs z)

(sort x z)

(sort y z)

Compiler

Compiled 2 608 to 1 270 computations (51.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.0%)

sample942.0ms (27.2%)

preprocess34.0ms (1.0%)

sample0.0ms (0.0%)

series34.0ms (1.0%)

rewrite150.0ms (4.3%)

eval60.0ms (1.7%)

prune15.0ms (0.4%)

sample0.0ms (0.0%)

series69.0ms (2.0%)

rewrite174.0ms (5.0%)

eval190.0ms (5.5%)

prune40.0ms (1.2%)

sample0.0ms (0.0%)

series58.0ms (1.7%)

rewrite177.0ms (5.1%)

eval231.0ms (6.7%)

prune42.0ms (1.2%)

sample0.0ms (0.0%)

series71.0ms (2.0%)

rewrite223.0ms (6.5%)

eval455.0ms (13.1%)

prune53.0ms (1.5%)

regimes201.0ms (5.8%)

derivations81.0ms (2.3%)

preprocess159.0ms (4.6%)

end0.0ms (0.0%)

Profiling