Metrics for Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample740.0ms (29.5%)

Memory

8.2MiB live, 845.0MiB allocated; 186ms collecting garbage

Samples

459.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-mult!: 134.0ms (50.6% of total)

ival-sqrt: 62.0ms (23.4% of total)

ival-div!: 38.0ms (14.3% of total)

ival-add!: 29.0ms (10.9% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess33.0ms (1.3%)

Memory

5.0MiB live, 50.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	143
1	175	143
2	568	143
3	1536	143

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.4%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 28 to 22 computations (21.4% saved)

series30.0ms (1.2%)

Memory

8.5MiB live, 53.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	2284

Stop Event

1×	iter-limit

Counts

11 → 63

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(+.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
#s(literal 3 binary64)

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #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)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 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)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 -1/72 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 1/432 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx y y)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 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)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 -1/72 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 1/432 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #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)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 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)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))

Calls

9 calls:

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

rewrite119.0ms (4.8%)

Memory

9.5MiB live, 153.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
0	18	58
1	60	58
2	234	58
3	895	58
0	4053	51

Stop Event

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

Counts

11 → 613

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(+.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
#s(literal 3 binary64)

Outputs
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y))))))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))))))
(fabs.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y))))))
(.f64 (fabs.f64 (fma.f64 z z (.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y))))) #s(literal 1/9 binary64))
(.f64 (fabs.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (.f64 y y))))) #s(literal 1/3 binary64))
(.f64 (fabs.f64 (fma.f64 z z (fma.f64 x x (.f64 y y)))) #s(literal 1/3 binary64))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y))))))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y))))))))
(.f64 #s(literal -1/3 binary64) (neg.f64 (fma.f64 z z (fma.f64 x x (.f64 y y)))))
(.f64 (fma.f64 z z (.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1 binary64))) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1/9 binary64))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))))))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal -1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (fabs.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (.f64 y y))))))
(.f64 #s(literal 1/3 binary64) (fabs.f64 (fma.f64 z z (fma.f64 x x (.f64 y y)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (.f64 y y)))) #s(literal -1/3 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y))))) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y))))))
(.f64 (fma.f64 z z (fma.f64 x x (.f64 y y))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 z z) #s(literal -1 binary64) (.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 (neg.f64 z) z (.f64 (fma.f64 x x (.f64 y y)) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 (.f64 z z) #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 x x))) #s(literal 3 binary64))
(/.f64 (fma.f64 z z (fma.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 x x))) #s(literal 3 binary64))
(/.f64 (fma.f64 (.f64 z z) #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 y y))) #s(literal 3 binary64))
(/.f64 (fma.f64 z z (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 y y))) #s(literal 3 binary64))
(/.f64 (fma.f64 (.f64 z z) #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 y) y))) #s(literal 3 binary64))
(/.f64 (fma.f64 z z (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (.f64 (neg.f64 y) y))) #s(literal 3 binary64))
(/.f64 (fma.f64 (.f64 z z) #s(literal 1 binary64) (.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (fma.f64 (.f64 z z) #s(literal -1 binary64) (neg.f64 (fma.f64 x x (.f64 y y)))) #s(literal -3 binary64))
(/.f64 (fma.f64 (.f64 z z) #s(literal 1 binary64) (fma.f64 x x (.f64 y y))) #s(literal 3 binary64))
(/.f64 (fma.f64 (fma.f64 x x (.f64 y y)) #s(literal -1 binary64) (.f64 (*.f64 z z) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (+.f64 (neg.f64 (fma.f64 x x (.f64 y y))) (.f64 (*.f64 z z) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 x x)) (.f64 (*.f64 z z) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 y y)) (.f64 (*.f64 z z) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (.f64 (neg.f64 y) y)) (.f64 (.f64 z z) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (fma.f64 (fma.f64 x x (.f64 y y)) #s(literal 1 binary64) (.f64 (*.f64 z z) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (+.f64 (fma.f64 x x (.f64 y y)) (.f64 (*.f64 z z) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (fma.f64 (fma.f64 x x (.f64 y y)) #s(literal -1 binary64) (.f64 (neg.f64 z) z)) #s(literal -3 binary64))
(/.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 x x)) (.f64 z z)) #s(literal 3 binary64))
(/.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 y y)) (.f64 z z)) #s(literal 3 binary64))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (.f64 (neg.f64 y) y)) (*.f64 z z)) #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) (fma.f64 x x (*.f64 y y))) #s(literal -3 binary64))
(/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (*.f64 y y)))) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 x x)) (.f64 (neg.f64 z) z)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 y y)) (.f64 (neg.f64 z) z)) #s(literal 3 binary64))
(/.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (.f64 (neg.f64 y) y)) (*.f64 (neg.f64 z) z)) #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal -1 binary64)) (*.f64 z z)) #s(literal -3 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (fma.f64 x x (.f64 y y))) #s(literal 9 binary64) (.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (*.f64 z z)))) #s(literal 81 binary64))
(/.f64 (fma.f64 (fma.f64 x x (.f64 z z)) #s(literal -3 binary64) (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 y) y))) #s(literal -9 binary64))
(/.f64 (fma.f64 (fma.f64 x x (.f64 z z)) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 y y))) #s(literal 9 binary64))
(/.f64 (fma.f64 (neg.f64 (fma.f64 z z (.f64 y y))) #s(literal -3 binary64) (.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x)))) #s(literal 9 binary64))
(/.f64 (fma.f64 (neg.f64 (fma.f64 z z (.f64 y y))) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x))) #s(literal -9 binary64))
(/.f64 (fma.f64 (fma.f64 z z (.f64 y y)) #s(literal -3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x (neg.f64 x)))) #s(literal -9 binary64))
(/.f64 (fma.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal 9 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 y) y) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (fma.f64 x x (*.f64 z z)))) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (fma.f64 x x (*.f64 z z)))) #s(literal 9 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 x)) #s(literal -3 binary64) (.f64 #s(literal -3 binary64) (neg.f64 (fma.f64 z z (*.f64 y y))))) #s(literal 9 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (fma.f64 z z (*.f64 y y)))) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 z z (*.f64 y y))))) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) #s(literal -3 binary64) (.f64 #s(literal -3 binary64) (.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 9 binary64))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (fma.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 x x)))) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (.f64 y y)))) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)))) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) #s(literal -27 binary64))
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(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 y y (*.f64 x x))
(-.f64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(+.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
x
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 y)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 y)))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y y) (*.f64 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))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (.f64 (.f64 y y) (*.f64 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))
y
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (.f64 (.f64 z z) (*.f64 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))
z
#s(literal 3 binary64)

eval81.0ms (3.2%)

Memory: 30.2MiB live, 168.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 13 409 to 2 357 computations (82.4% saved)

prune19.0ms (0.7%)

Memory

-10.0MiB live, 35.8MiB allocated; 3ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	656	12	668
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	657	12	669

Accuracy

98.4%

Counts

669 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.3%	(sqrt.f64 (fma.f64 (/.f64 z #s(literal -3 binary64)) (neg.f64 z) (.f64 #s(literal 1/3 binary64) (fma.f64 x x (.f64 y y)))))
	41.3%	(sqrt.f64 (fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y)))))
	41.3%	(sqrt.f64 (fma.f64 x (/.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
▶	41.4%	(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
	41.3%	(sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))) #s(literal 9 binary64)))
	41.3%	(sqrt.f64 (.f64 (fma.f64 z z (fma.f64 x x (.f64 y y))) #s(literal 1/3 binary64)))
▶	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
	5.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
▶	3.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
▶	0.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
	1.1%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
▶	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))

Compiler

Compiled 402 to 316 computations (21.4% saved)

series23.0ms (0.9%)

Memory

-5.5MiB live, 40.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	2246

Stop Event

1×	iter-limit

Counts

20 → 63

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
z
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(literal -1 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
(/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))
(fma.f64 z z (fma.f64 x x (*.f64 y y)))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
y
#s(literal 3 binary64)

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (* x (sqrt 1/3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx x x)
#s(approx (* -1 (* x (sqrt 1/3))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 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 z) (+ (* x x) (* y y))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 -1/72 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 1/432 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#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 y y)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 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 z) (+ (* x x) (* y y))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 -1/72 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 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)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 1/432 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (* z (sqrt 1/3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx z z)
#s(approx (* -1 (* z (sqrt 1/3))) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 3) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 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)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))

Calls

9 calls:

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

rewrite124.0ms (5%)

Memory

-15.2MiB live, 171.5MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	145
0	37	137
1	99	137
2	321	137
3	1081	137
0	4096	137

Stop Event

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

Counts

20 → 775

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
z
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(literal -1 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
(/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))
(fma.f64 z z (fma.f64 x x (*.f64 y y)))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
y
#s(literal 3 binary64)

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
z
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64))))
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) x)
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
#s(literal -1 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) z)
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z)))
(neg.f64 (*.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(pow.f64 (pow.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64))))))
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(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))
y
#s(literal 3 binary64)

eval128.0ms (5.1%)

Memory: 46.7MiB live, 234.0MiB allocated; 45ms collecting garbage
Compiler: Compiled 17 648 to 2 921 computations (83.4% saved)

prune44.0ms (1.8%)

Memory

-2.9MiB live, 46.4MiB allocated; 21ms collecting garbage

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	866	6	872
Fresh	3	4	7
Picked	2	3	5
Done	0	0	0
Total	871	13	884

Accuracy

98.5%

Counts

884 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.3%	(sqrt.f64 (fma.f64 (/.f64 z #s(literal -3 binary64)) (neg.f64 z) (.f64 #s(literal 1/3 binary64) (fma.f64 x x (.f64 y y)))))
	41.3%	(sqrt.f64 (fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/3 binary64))))
▶	41.3%	(sqrt.f64 (fma.f64 x (/.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
	41.3%	(sqrt.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 9 binary64))) #s(literal 81 binary64)))
✓	41.4%	(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
▶	41.3%	(sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 9 binary64)))
▶	41.3%	(sqrt.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)))
▶	0.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
✓	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
▶	5.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
✓	3.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
	1.1%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))

Compiler

Compiled 392 to 305 computations (22.2% saved)

series43.0ms (1.7%)

Memory

-5.1MiB live, 85.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	465	4063

Stop Event

1×	iter-limit

Counts

26 → 107

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 9 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 9 binary64))
(.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))
#s(literal 3 binary64)
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
z
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(neg.f64 z)
(sqrt.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)))
(.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 x (/.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
(fma.f64 x (/.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
(/.f64 x #s(literal 3 binary64))
(.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))
(fma.f64 z z (*.f64 y y))
(*.f64 y y)

Outputs
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (fma.f64 #s(literal 3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 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 (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 #s(literal 3 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 z) (+ (* y y) (* x x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 -1/72 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 1/432 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (fma.f64 #s(literal 3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx y y)
#s(approx (* y (sqrt 1/3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 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 1/432 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
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#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 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 (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.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 3)) (* (+ (* z z) (* y y)) 1/3))) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3))) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3))) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* (+ (* z z) (* y y)) 1/3) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (* z z) (* y y)) (*.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 (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (* 3 (+ (* z z) (+ (* y y) (* x x)))) 9)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx (sqrt (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3))) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3))) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (+ (* x (/ x 3)) (* (+ (* z z) (* y y)) 1/3))) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))

Calls

9 calls:

Time	Variable	Point
5.0ms	x	inf
2.0ms	y	0
2.0ms	y	inf
2.0ms	z	inf
2.0ms	z	0

rewrite170.0ms (6.8%)

Memory

5.5MiB live, 290.6MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	184
0	51	184
1	145	172
2	515	172
3	2135	172
0	4387	172

Stop Event

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

Counts

26 → 2 034

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 9 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 9 binary64))
(.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))
#s(literal 3 binary64)
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
z
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(neg.f64 z)
(sqrt.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)))
(.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 x (/.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
(fma.f64 x (/.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
(/.f64 x #s(literal 3 binary64))
(.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))
(fma.f64 z z (*.f64 y y))
(*.f64 y y)

Outputs
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))))
(fabs.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))))
(.f64 (fabs.f64 (/.f64 (.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64))) #s(literal 1/3 binary64))
(.f64 (fabs.f64 (fma.f64 (fma.f64 y y (.f64 x x)) #s(literal 1 binary64) (*.f64 z z))) #s(literal 1/3 binary64))
(.f64 (fabs.f64 (.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/9 binary64))
(.f64 (fabs.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))))) #s(literal 1/3 binary64))
(.f64 (fabs.f64 (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))) #s(literal 1/9 binary64))
(.f64 (fabs.f64 (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 1/3 binary64))
(.f64 (/.f64 (.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))))
(.f64 #s(literal -1/9 binary64) (.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(.f64 #s(literal -1/3 binary64) (neg.f64 (fma.f64 z z (fma.f64 y y (.f64 x x)))))
(.f64 (fma.f64 (fma.f64 y y (.f64 x x)) #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/3 binary64))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))
(.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64))
(.f64 #s(literal 1/9 binary64) (fabs.f64 (.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(.f64 #s(literal 1/9 binary64) (fabs.f64 (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))))
(.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(.f64 (.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -1/9 binary64))
(.f64 #s(literal -3 binary64) (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1/9 binary64)))
(.f64 #s(literal -3 binary64) (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -9 binary64)))
(.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (fabs.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))))))
(.f64 #s(literal 1/3 binary64) (fabs.f64 (fma.f64 z z (fma.f64 y y (.f64 x x)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(.f64 (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64))
(.f64 #s(literal 3 binary64) (fabs.f64 (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1/9 binary64))))
(.f64 #s(literal 3 binary64) (fabs.f64 (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -9 binary64))))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 1/9 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 x x (.f64 z z)) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 y) y))) #s(literal 9 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 x x (.f64 z z)) #s(literal -3 binary64)) (.f64 (.f64 y y) #s(literal 3 binary64))) #s(literal -9 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (neg.f64 (fma.f64 x x (*.f64 z z))))) #s(literal -9 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (neg.f64 (fma.f64 x x (*.f64 z z))))) #s(literal -9 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x x (*.f64 z z))))) #s(literal 9 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x x (*.f64 z z))))) #s(literal 9 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (neg.f64 (fma.f64 x x (*.f64 z z))))) #s(literal 27 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (neg.f64 (fma.f64 x x (.f64 z z))))) #s(literal -9 binary64))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x x (.f64 z z))))) #s(literal 9 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (.f64 #s(literal -3 binary64) (fma.f64 y y (.f64 x x))))) #s(literal -27 binary64))
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(pow.f64 (.f64 (.f64 y y) (*.f64 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))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (.f64 (.f64 y y) (*.f64 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))

eval172.0ms (6.8%)

Memory: -12.1MiB live, 309.0MiB allocated; 43ms collecting garbage
Compiler: Compiled 23 999 to 4 128 computations (82.8% saved)

prune27.0ms (1.1%)

Memory

20.0MiB live, 71.5MiB allocated; 10ms collecting garbage

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 207	1	1 208
Fresh	1	4	5
Picked	1	4	5
Done	0	3	3
Total	1 209	12	1 221

Accuracy

98.5%

Counts

1 221 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.3%	(sqrt.f64 (fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/3 binary64))))
✓	41.3%	(sqrt.f64 (fma.f64 x (/.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
▶	41.3%	(sqrt.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 9 binary64))) #s(literal 81 binary64)))
✓	41.4%	(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
✓	41.3%	(sqrt.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)))
▶	41.3%	(sqrt.f64 (.f64 #s(literal -3 binary64) (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -9 binary64))))
✓	0.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
▶	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
✓	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
✓	5.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
✓	3.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
▶	1.1%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))

Compiler

Compiled 297 to 230 computations (22.6% saved)

series65.0ms (2.6%)

Memory

5.4MiB live, 138.5MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	711	6936

Stop Event

1×	iter-limit

Counts

36 → 161

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal -3 binary64) (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -9 binary64))))
(.f64 #s(literal -3 binary64) (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -9 binary64)))
#s(literal -3 binary64)
(/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -9 binary64))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
z
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(literal -9 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(literal -1 binary64)
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 (fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 z #s(literal 1/3 binary64))
(.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))
(sqrt.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 9 binary64))) #s(literal 81 binary64)))
(/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 9 binary64))) #s(literal 81 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 9 binary64)))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(literal 3 binary64)
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
#s(literal 9 binary64)
(.f64 (.f64 #s(literal 3 binary64) (*.f64 z z)) #s(literal 9 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z z)
#s(literal 81 binary64)

Outputs
#s(approx (sqrt (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9))) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.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 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9)) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9)) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* y y) (* x x))) -9) (*.f64 #s(literal -1/9 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* y y) (* x x))) -9) (fma.f64 #s(literal -1/9 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (sqrt 1/3) (neg x)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* (* z 1/3) z) (* (+ (* y y) (* x x)) 1/3))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* z 1/3) z) (* (+ (* y y) (* x x)) 1/3))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* z 1/3) z) (* (+ (* y y) (* x x)) 1/3))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ (* (* z 1/3) z) (* (+ (* y y) (* x x)) 1/3))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/3 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 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (+ (* (* z 1/3) z) (* (+ (* y y) (* x x)) 1/3)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* (* z 1/3) z) (* (+ (* y y) (* x x)) 1/3)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* (+ (* y y) (* x x)) 1/3) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ (* y y) (* x x)) 1/3) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) 81)) (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) 81)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (/ (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) 81)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64))))))))))))
#s(approx (sqrt (/ (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) 81)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 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 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64))))))))))))
#s(approx (/ (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) 81) (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) 81) (fma.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ (* (* x x) 3) (* 3 (* y y))) (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* (* x x) 3) (* 3 (* y y))) (fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9))) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9))) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9))) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9))) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (* -3 (/ (+ (* z z) (+ (* y y) (* x x))) -9)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
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#s(approx (sqrt (/ (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) 81)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/18 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) 81)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/648 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/18 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (* (+ (* (* x x) 3) (* 3 (* y y))) 9) (* (* 3 (* z z)) 9)) 81)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/648 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/11664 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/18 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))

Calls

9 calls:

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

rewrite236.0ms (9.4%)

Memory

-42.9MiB live, 278.6MiB allocated; 181ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	259
0	69	236
1	194	217
2	771	215
3	3609	215
0	4341	215

Stop Event

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

Counts

36 → 1 907

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal -3 binary64) (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -9 binary64))))
(.f64 #s(literal -3 binary64) (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -9 binary64)))
#s(literal -3 binary64)
(/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -9 binary64))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
z
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(literal -9 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(literal -1 binary64)
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 (fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 z #s(literal 1/3 binary64))
(.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))
(sqrt.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 9 binary64))) #s(literal 81 binary64)))
(/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 9 binary64))) #s(literal 81 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 9 binary64)))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(literal 3 binary64)
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
#s(literal 9 binary64)
(.f64 (.f64 #s(literal 3 binary64) (*.f64 z z)) #s(literal 9 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z z)
#s(literal 81 binary64)

Outputs
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))))
(fabs.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))))
(.f64 (.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1/9 binary64))
(.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 z z))) #s(literal -9 binary64)) #s(literal -1/9 binary64))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 1/81 binary64)) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/9 binary64))
(.f64 (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -3 binary64)) #s(literal -1/9 binary64))
(.f64 (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/9 binary64)) #s(literal 3 binary64))
(.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1/9 binary64) (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(.f64 #s(literal -1/3 binary64) (neg.f64 (fma.f64 z z (fma.f64 y y (.f64 x x)))))
(.f64 #s(literal -1/81 binary64) (.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal -9 binary64)))
(.f64 (.f64 #s(literal 81 binary64) (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (*.f64 z z)))) #s(literal 1/6561 binary64))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))
(.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 z z))))
(.f64 #s(literal -1/9 binary64) (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal -9 binary64)) #s(literal -1/81 binary64))
(.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal -1/3 binary64))
(.f64 (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 z z))) #s(literal 1/81 binary64))
(.f64 #s(literal 9 binary64) (.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -3 binary64)) #s(literal -1/81 binary64)))
(.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 1/81 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/81 binary64))))
(.f64 #s(literal 3 binary64) (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/9 binary64)))
(.f64 (.f64 #s(literal -1/9 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64))
(.f64 #s(literal -9 binary64) (.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal -1/81 binary64)))
(.f64 #s(literal -9 binary64) (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -81 binary64)))
(.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64))
(.f64 #s(literal -3 binary64) (.f64 #s(literal -1/9 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x))))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 z z))) #s(literal -1 binary64)) #s(literal -81 binary64))
(/.f64 (.f64 (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -9 binary64))
(/.f64 (.f64 (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -1 binary64)) #s(literal -3 binary64))
(/.f64 (.f64 #s(literal -3 binary64) (fma.f64 (.f64 z z) #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #s(literal -9 binary64))
(/.f64 (.f64 #s(literal -3 binary64) (.f64 #s(literal -9 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 81 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 z z)))) #s(literal -81 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal -3 binary64))
(/.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #s(literal -3 binary64)) #s(literal -9 binary64))
(/.f64 (.f64 (.f64 #s(literal -9 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64)) #s(literal 81 binary64))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 3 binary64)) #s(literal 3 binary64))
(/.f64 (/.f64 (.f64 #s(literal 81 binary64) (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 z z)))) #s(literal 81 binary64)) #s(literal 81 binary64))
(/.f64 (.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 1 binary64)) #s(literal -3 binary64))
(/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal -81 binary64))
(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 3 binary64) (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (.f64 x x))) #s(literal -3 binary64) (*.f64 (neg.f64 z) z)) #s(literal -3 binary64))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) #s(literal -3 binary64) (neg.f64 (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) #s(literal 3 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) #s(literal -81 binary64) (.f64 #s(literal -27 binary64) (fma.f64 y y (.f64 x x)))) #s(literal -81 binary64))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) #s(literal 81 binary64) (.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)))) #s(literal 81 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (.f64 x x))) #s(literal -81 binary64) (.f64 #s(literal -27 binary64) (.f64 z z))) #s(literal -81 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 y y (.f64 x x)))) #s(literal 3 binary64))
(/.f64 (fma.f64 (.f64 z #s(literal -3 binary64)) z (.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (.f64 z z)) #s(literal -81 binary64) (.f64 (.f64 #s(literal -27 binary64) (fma.f64 y y (*.f64 x x))) #s(literal -81 binary64))) #s(literal 6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (.f64 z z)) #s(literal 81 binary64) (.f64 (.f64 #s(literal 27 binary64) (fma.f64 y y (*.f64 x x))) #s(literal -81 binary64))) #s(literal -6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 z z)) #s(literal -81 binary64) (.f64 (.f64 #s(literal -27 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 81 binary64))) #s(literal -6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (fma.f64 y y (.f64 x x))) #s(literal -81 binary64) (.f64 (.f64 #s(literal -27 binary64) (*.f64 z z)) #s(literal -81 binary64))) #s(literal 6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (fma.f64 y y (.f64 x x))) #s(literal 81 binary64) (.f64 (.f64 #s(literal 27 binary64) (*.f64 z z)) #s(literal -81 binary64))) #s(literal -6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x))) #s(literal -81 binary64) (.f64 (.f64 #s(literal -27 binary64) (*.f64 z z)) #s(literal 81 binary64))) #s(literal -6561 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (*.f64 z z))) #s(literal -9 binary64)) #s(literal -9 binary64))
(/.f64 (fma.f64 (neg.f64 (fma.f64 y y (.f64 x x))) #s(literal 3 binary64) (.f64 (*.f64 z z) #s(literal -3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (.f64 z z)) #s(literal -81 binary64) (.f64 #s(literal -81 binary64) (.f64 #s(literal -27 binary64) (fma.f64 y y (*.f64 x x))))) #s(literal 6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (.f64 z z)) #s(literal 81 binary64) (.f64 #s(literal -81 binary64) (.f64 #s(literal 27 binary64) (fma.f64 y y (*.f64 x x))))) #s(literal -6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 z z)) #s(literal -81 binary64) (.f64 #s(literal 81 binary64) (.f64 #s(literal -27 binary64) (fma.f64 y y (*.f64 x x))))) #s(literal -6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (fma.f64 y y (.f64 x x))) #s(literal -81 binary64) (.f64 #s(literal -81 binary64) (.f64 #s(literal -27 binary64) (*.f64 z z)))) #s(literal 6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (fma.f64 y y (.f64 x x))) #s(literal 81 binary64) (.f64 #s(literal -81 binary64) (.f64 #s(literal 27 binary64) (*.f64 z z)))) #s(literal -6561 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x))) #s(literal -81 binary64) (.f64 #s(literal 81 binary64) (.f64 #s(literal -27 binary64) (*.f64 z z)))) #s(literal -6561 binary64))
(/.f64 (-.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (neg.f64 (fma.f64 y y (.f64 x x))))) #s(literal -9 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 y y (.f64 x x))) #s(literal 3 binary64)) (.f64 (.f64 z z) #s(literal 3 binary64))) #s(literal -9 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -27 binary64) (fma.f64 y y (.f64 x x))) #s(literal 81 binary64)) (.f64 #s(literal -81 binary64) (.f64 #s(literal -27 binary64) (.f64 z z)))) #s(literal -6561 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x))) #s(literal 81 binary64)) (.f64 #s(literal 81 binary64) (.f64 #s(literal -27 binary64) (.f64 z z)))) #s(literal 6561 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 81 binary64) (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 z z))))) #s(literal -6561 binary64))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 9 binary64))
(/.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -3 binary64)) #s(literal -9 binary64))
(/.f64 (.f64 #s(literal 81 binary64) (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 z z)))) #s(literal 6561 binary64))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -9 binary64)) #s(literal -81 binary64))
(/.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal 27 binary64) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 27 binary64) (*.f64 z z))) #s(literal 81 binary64))
(/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))
(neg.f64 (.f64 (.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/9 binary64)) #s(literal -3 binary64)))
(neg.f64 (.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal -9 binary64))))
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(fabs.f64 (.f64 (.f64 y y) #s(literal -3 binary64)))
(fabs.f64 (.f64 (.f64 y y) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(*.f64 y y)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y y) (*.f64 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))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (.f64 (.f64 y y) (*.f64 y y)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)))
(fabs.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(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))
#s(literal 9 binary64)
(.f64 (.f64 #s(literal 27 binary64) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)))
(.f64 (.f64 #s(literal 27 binary64) (fabs.f64 z)) (fabs.f64 z))
(.f64 (.f64 #s(literal 27 binary64) (neg.f64 z)) (neg.f64 z))
(.f64 (.f64 #s(literal 9 binary64) (*.f64 (fabs.f64 z) #s(literal 3 binary64))) (fabs.f64 z))
(.f64 (.f64 #s(literal 9 binary64) (*.f64 z #s(literal -3 binary64))) (neg.f64 z))
(.f64 (.f64 #s(literal 27 binary64) z) z)
(.f64 (.f64 z #s(literal -3 binary64)) (*.f64 z #s(literal -9 binary64)))
(.f64 (.f64 z #s(literal -3 binary64)) (*.f64 (neg.f64 z) #s(literal 9 binary64)))
(.f64 (.f64 (fabs.f64 z) #s(literal 9 binary64)) (*.f64 (fabs.f64 z) #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 z) #s(literal 9 binary64)) (*.f64 z #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 9 binary64) z) (*.f64 #s(literal 3 binary64) z))
(.f64 #s(literal 27 binary64) (.f64 z z))
(.f64 (.f64 (fabs.f64 z) #s(literal 3 binary64)) (*.f64 (fabs.f64 z) #s(literal 9 binary64)))
(.f64 (neg.f64 (fabs.f64 z)) (.f64 (neg.f64 (fabs.f64 z)) #s(literal 27 binary64)))
(.f64 (.f64 #s(literal 3 binary64) z) (*.f64 (neg.f64 z) #s(literal -9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 9 binary64) z))
(.f64 (.f64 (*.f64 z z) #s(literal 9 binary64)) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 z z) #s(literal -3 binary64)) #s(literal -9 binary64))
(.f64 (.f64 (neg.f64 z) z) #s(literal -27 binary64))
(.f64 (fabs.f64 z) (.f64 (*.f64 (fabs.f64 z) #s(literal 9 binary64)) #s(literal 3 binary64)))
(.f64 (fabs.f64 z) (.f64 (*.f64 (fabs.f64 z) #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (fabs.f64 z) (.f64 (fabs.f64 z) #s(literal 27 binary64)))
(.f64 (neg.f64 z) (.f64 (*.f64 (neg.f64 z) #s(literal 9 binary64)) #s(literal 3 binary64)))
(.f64 (neg.f64 z) (.f64 (*.f64 z #s(literal -3 binary64)) #s(literal 9 binary64)))
(.f64 (neg.f64 z) (.f64 (neg.f64 z) #s(literal 27 binary64)))
(.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal 9 binary64))
(.f64 (.f64 z z) #s(literal 27 binary64))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 z z) #s(literal 9 binary64)))
(.f64 #s(literal -9 binary64) (.f64 (*.f64 z z) #s(literal -3 binary64)))
(.f64 z (.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) z)))
(.f64 z (.f64 z #s(literal 27 binary64)))
(.f64 z (.f64 #s(literal 27 binary64) z))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 z z) #s(literal -9 binary64)))
(neg.f64 (.f64 #s(literal -27 binary64) (.f64 z z)))
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)))
(.f64 (.f64 z #s(literal -3 binary64)) (neg.f64 z))
(.f64 (.f64 (fabs.f64 z) #s(literal 3 binary64)) (fabs.f64 z))
(.f64 (neg.f64 (fabs.f64 z)) (.f64 (neg.f64 (fabs.f64 z)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(.f64 (.f64 (neg.f64 z) z) #s(literal -3 binary64))
(.f64 (fabs.f64 z) (.f64 (fabs.f64 z) #s(literal 3 binary64)))
(.f64 (neg.f64 z) (.f64 z #s(literal -3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 z (.f64 #s(literal 3 binary64) z))
(.f64 #s(literal -3 binary64) (.f64 (neg.f64 z) z))
(neg.f64 (.f64 (.f64 z z) #s(literal -3 binary64)))
(fabs.f64 (.f64 (.f64 z z) #s(literal -3 binary64)))
(fabs.f64 (.f64 (.f64 z z) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (.f64 (.f64 z z) (*.f64 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))
#s(literal 81 binary64)

eval246.0ms (9.8%)

Memory: 23.6MiB live, 345.5MiB allocated; 50ms collecting garbage
Compiler: Compiled 31 835 to 5 327 computations (83.3% saved)

prune33.0ms (1.3%)

Memory

19.9MiB live, 111.1MiB allocated; 8ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	1 438	2	1 440
Fresh	0	0	0
Picked	2	3	5
Done	0	7	7
Total	1 440	12	1 452

Accuracy

98.5%

Counts

1 452 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.3%	(sqrt.f64 (fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/3 binary64))))
✓	41.3%	(sqrt.f64 (fma.f64 x (/.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
✓	41.4%	(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
	41.3%	(sqrt.f64 (/.f64 (.f64 (.f64 #s(literal -9 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64)) #s(literal 81 binary64)))
✓	41.3%	(sqrt.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)))
✓	41.3%	(sqrt.f64 (.f64 #s(literal -3 binary64) (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -9 binary64))))
✓	0.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
	1.1%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y)))
✓	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
✓	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
✓	5.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
✓	3.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))

Compiler

Compiled 199 to 156 computations (21.6% saved)

regimes99.0ms (3.9%)

Memory

-0.4MiB live, 230.3MiB allocated; 31ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 1

22 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))

Call 2

Inputs

#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))

#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))

Call 3

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(sqrt.f64 (.f64 (fma.f64 z z (fma.f64 x x (.f64 y y))) #s(literal 1/3 binary64)))
(sqrt.f64 (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y)))))
(sqrt.f64 (fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/3 binary64))))
(sqrt.f64 (.f64 #s(literal -3 binary64) (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -9 binary64))))
(sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 x x (.f64 y y)))) #s(literal 9 binary64)))
(sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 9 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
(sqrt.f64 (fma.f64 (/.f64 z #s(literal -3 binary64)) (neg.f64 z) (.f64 #s(literal 1/3 binary64) (fma.f64 x x (.f64 y y)))))
(sqrt.f64 (/.f64 (.f64 (.f64 #s(literal -9 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64)) #s(literal 81 binary64)))
(sqrt.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(literal 9 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 9 binary64))) #s(literal 81 binary64)))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))

Calls

30 calls:

11.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
9.0ms	(*.f64 z z)
8.0ms	(+.f64 (.f64 x x) (.f64 y y))
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
3.5%	1	`z`
3.5%	1	`(*.f64 y y)`
3.5%	1	`(*.f64 x x)`
3.5%	1	`(+.f64 (.f64 x x) (.f64 y y))`
3.5%	1	`y`
3.5%	1	`(*.f64 z z)`
3.5%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
3.5%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
3.5%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
3.5%	1	`x`
5.8%	1	`(*.f64 z z)`
5.8%	1	`(*.f64 y y)`
5.8%	1	`(*.f64 x x)`
5.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
5.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
5.8%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
5.8%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
5.8%	1	`x`
5.8%	1	`y`
5.8%	1	`z`
97.8%	1	`(*.f64 z z)`
97.8%	1	`(*.f64 y y)`
97.8%	1	`(*.f64 x x)`
97.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
97.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
97.8%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
97.8%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
97.8%	1	`x`
97.8%	1	`y`
97.8%	1	`z`

Compiler

Compiled 538 to 260 computations (51.7% saved)

derivations3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 57 to 19 computations (66.7% saved)

preprocess72.0ms (2.9%)

Memory

-0.3MiB live, 152.9MiB allocated; 36ms collecting garbage

Remove

(abs z)

(abs y)

(sort x y z)

Compiler

Compiled 831 to 630 computations (24.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample740.0ms (29.5%)

preprocess33.0ms (1.3%)

series30.0ms (1.2%)

rewrite119.0ms (4.8%)

eval81.0ms (3.2%)

prune19.0ms (0.7%)

series23.0ms (0.9%)

rewrite124.0ms (5%)

eval128.0ms (5.1%)

prune44.0ms (1.8%)

series43.0ms (1.7%)

rewrite170.0ms (6.8%)

eval172.0ms (6.8%)

prune27.0ms (1.1%)

series65.0ms (2.6%)

rewrite236.0ms (9.4%)

eval246.0ms (9.8%)

prune33.0ms (1.3%)

regimes99.0ms (3.9%)

derivations3.0ms (0.1%)

preprocess72.0ms (2.9%)

end0.0ms (0%)

Profiling