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

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample1.1s (28.9%)

Memory
16.3MiB live, 1 155.0MiB allocated; 372ms collecting garbage
Samples
817.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 380.0ms
ival-mult!: 203.0ms (53.4% of total)
ival-sqrt: 91.0ms (23.9% of total)
ival-add!: 45.0ms (11.8% of total)
ival-div!: 39.0ms (10.3% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess36.0ms (0.9%)

Memory
-7.6MiB live, 38.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043143
1175143
2568143
31536143
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(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 22 to 22 computations (0% saved)

series24.0ms (0.6%)

Memory
42.3MiB live, 42.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02822284
Stop Event
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:

TimeVariablePointExpression
2.0ms
x
@inf
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)
2.0ms
y
@inf
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)
2.0ms
y
@0
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)
2.0ms
x
@0
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)
1.0ms
z
@inf
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)

rewrite163.0ms (4.3%)

Memory
1.1MiB live, 188.1MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01158
01858
19558
242658
3176058
0831451
11619351
Stop Event
saturated
node-limit
iter-limit
Counts
11 → 694
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 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 (*.f64 #s(literal 1 binary64) (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 binary64) (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 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))
(*.f64 (fabs.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64)))) #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 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (fma.f64 z z (*.f64 y y))) #s(literal 1/3 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal -3 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal -1/3 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 3 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -1/9 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 z z (*.f64 y y)))) #s(literal 1/9 binary64))
(*.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 z z)) #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 -1/3 binary64) (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(*.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/9 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 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 (*.f64 z z) #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 z z) #s(literal 1 binary64))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(*.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 (*.f64 (fma.f64 y y (*.f64 x x)) #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 binary64) (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(*.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -1/3 binary64))
(*.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 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64))
(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 (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 9 binary64) (*.f64 #s(literal 3 binary64) (*.f64 z z))) #s(literal 9 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 z z (*.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 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 y y)) #s(literal 3 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) #s(literal 3 binary64) (fma.f64 z z (*.f64 x x))) #s(literal 3 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64)) #s(literal -3 binary64) (*.f64 (neg.f64 x) x)) #s(literal -3 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -3 binary64) (neg.f64 (fma.f64 z z (*.f64 y y)))) #s(literal -3 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal -3 binary64) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 3 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 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 3 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 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 9 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 y y (*.f64 x x)))) #s(literal 9 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 9 binary64) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) #s(literal 9 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 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 9 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 3 binary64) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal -3 binary64)) (*.f64 y y)) #s(literal -3 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y y (*.f64 x x))) #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 z z (*.f64 x x)) #s(literal -3 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64) (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal -3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) #s(literal -3 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -3 binary64))) #s(literal 9 binary64))
(/.f64 (fma.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 (fma.f64 z z (*.f64 y y)) #s(literal -3 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal -3 binary64) (*.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) #s(literal -3 binary64))) #s(literal 9 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -3 binary64))) #s(literal -9 binary64))
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(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)

eval126.0ms (3.3%)

Memory
-13.2MiB live, 127.5MiB allocated; 20ms collecting garbage
Compiler

Compiled 6 941 to 2 549 computations (63.3% saved)

prune19.0ms (0.5%)

Memory
6.0MiB live, 52.3MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New73712749
Fresh000
Picked101
Done000
Total73812750
Accuracy
98.8%
Counts
750 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(sqrt.f64 (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))))
49.0%
(sqrt.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
49.0%
(sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 9 binary64)))
49.0%
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))
48.9%
(sqrt.f64 (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 9 binary64)))
49.0%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #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))))
3.4%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
0.8%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
1.2%
#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 318 to 318 computations (0% saved)

series27.0ms (0.7%)

Memory
12.3MiB live, 57.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02852240
Stop Event
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 y y (*.f64 x x))) #s(literal 3 binary64)))
(/.f64 (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)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
#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) (+ (* y y) (* x x))) 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) (+ (* y y) (* x x))) 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) (+ (* 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 (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) (+ (* y y) (* x x))) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* y y) (* x x))) 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) (+ (* 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 (/ (+ (+ (* 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) (+ (* y y) (* x x))) 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) (+ (* y y) (* x x))) 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) (+ (* 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 (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) (+ (* y y) (* x x))) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* y y) (* x x))) 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) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (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) (+ (* y y) (* x x))) 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) (+ (* y y) (* x x))) 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) (+ (* y y) (* x x))) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* y y) (* x x))) 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) (+ (* y y) (* x x))) (pow.f64 z #s(literal 2 binary64)))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (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:

TimeVariablePointExpression
4.0ms
y
@-inf
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* z (sqrt 1/3)) z (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* x (sqrt 1/3)) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* x (sqrt 1/3))) -1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* z (sqrt 1/3))) (sqrt (/ (+ (* z z) (+ (* y y) (* x x))) 3)) (/ (+ (* z z) (+ (* y y) (* x x))) 3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) 3)
3.0ms
x
@0
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* z (sqrt 1/3)) z (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* x (sqrt 1/3)) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* x (sqrt 1/3))) -1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* z (sqrt 1/3))) (sqrt (/ (+ (* z z) (+ (* y y) (* x x))) 3)) (/ (+ (* z z) (+ (* y y) (* x x))) 3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) 3)
2.0ms
x
@inf
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* z (sqrt 1/3)) z (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* x (sqrt 1/3)) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* x (sqrt 1/3))) -1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* z (sqrt 1/3))) (sqrt (/ (+ (* z z) (+ (* y y) (* x x))) 3)) (/ (+ (* z z) (+ (* y y) (* x x))) 3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) 3)
1.0ms
x
@-inf
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* z (sqrt 1/3)) z (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* x (sqrt 1/3)) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* x (sqrt 1/3))) -1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* z (sqrt 1/3))) (sqrt (/ (+ (* z z) (+ (* y y) (* x x))) 3)) (/ (+ (* z z) (+ (* y y) (* x x))) 3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) 3)
1.0ms
z
@-inf
((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* z (sqrt 1/3)) z (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* x (sqrt 1/3)) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* x (sqrt 1/3))) -1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* z (sqrt 1/3))) (sqrt (/ (+ (* z z) (+ (* y y) (* x x))) 3)) (/ (+ (* z z) (+ (* y y) (* x x))) 3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) 3)

rewrite266.0ms (6.9%)

Memory
-30.3MiB live, 268.6MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027149
037137
1177137
2642137
32199137
08453137
117797137
Stop Event
saturated
node-limit
iter-limit
Counts
20 → 1 010
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 y y (*.f64 x x))) #s(literal 3 binary64)))
(/.f64 (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)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
#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 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.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 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) z (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) z (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
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(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
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(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (*.f64 (*.f64 (fabs.f64 y) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 y y))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y y))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 y y))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 y y))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y))))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y))))
(fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y))))
(fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 y (*.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 y y))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))))
(+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y))))
(+.f64 (*.f64 y y) (*.f64 x x))
y
(*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (/.f64 (fabs.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 x x)
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.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))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64)) #s(literal -3 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -3 binary64)))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (/.f64 (fabs.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (/.f64 (fabs.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x x (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.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 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
#s(literal 3 binary64)

eval249.0ms (6.5%)

Memory
30.4MiB live, 355.7MiB allocated; 58ms collecting garbage
Compiler

Compiled 10 830 to 3 818 computations (64.7% saved)

prune58.0ms (1.5%)

Memory
-24.9MiB live, 67.7MiB allocated; 7ms collecting garbage
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1 25671 263
Fresh347
Picked235
Done000
Total1 261141 275
Accuracy
98.8%
Counts
1 275 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))))
49.0%
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
49.0%
(sqrt.f64 (fma.f64 z (/.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y)))))
49.0%
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 z z))))
49.0%
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))
48.9%
(sqrt.f64 (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 9 binary64)))
49.0%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
49.0%
(sqrt.f64 (*.f64 #s(literal 3 binary64) (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64))))
0.8%
#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))))
3.4%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
1.2%
#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 321 to 321 computations (0% saved)

series80.0ms (2.1%)

Memory
24.6MiB live, 69.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04654060
Stop Event
iter-limit
Counts
28 → 107
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 3 binary64) (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64)))
#s(literal 3 binary64)
(/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64))
(fma.f64 z z (fma.f64 x x (*.f64 y y)))
z
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
#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))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) y)
(*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 z z (*.f64 x x))
Outputs
#s(approx (sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 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) (+ (* x x) (* y y))) 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) (+ (* x x) (* y y))) 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)))))))))))
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#s(approx x x)
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#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 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) (+ (* x x) (* y y))) 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 (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (fma.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 y #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 (* 1/3 y) (*.f64 #s(literal 1/3 binary64) y))
#s(approx (sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (*.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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (*.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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (*.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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (*.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))) 9) (*.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/9 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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (*.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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (*.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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (*.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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (+.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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (+.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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (+.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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (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) (+ (* x x) (* y y))) 9) (*.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (fma.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx z z)
#s(approx (* (sqrt 1/3) (neg z)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (neg z) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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 y #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 z #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 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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 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 (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 #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 y #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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 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 (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 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 y #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 y #s(literal 2 binary64)))))))))))
#s(approx (+ (* (* 1/3 y) y) (* (+ (* z z) (* 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 (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 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) (+ (* x x) (* y y))) 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) (+ (* x x) (* y y))) 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) (+ (* x x) (* y y))) 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 (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 #s(literal 1/9 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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 (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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 (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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 (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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) (* x x)) 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 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (* z z) (* x x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 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) (+ (* x x) (* y y))) 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) (+ (* x x) (* y y))) 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 (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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 (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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 (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 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:

TimeVariablePointExpression
3.0ms
z
@inf
((sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9) (+ (* z z) (+ (* x x) (* y y))) z (+ (* x x) (* y y)) x (* y y) y 9 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* y (sqrt 1/3)) (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg z)) (neg z) (sqrt (* (+ (* z z) (+ (* y y) (* x x))) 1/3)) (* (+ (* z z) (+ (* y y) (* x x))) 1/3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3))) (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3)) (* 1/3 y) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)))
3.0ms
x
@inf
((sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9) (+ (* z z) (+ (* x x) (* y y))) z (+ (* x x) (* y y)) x (* y y) y 9 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* y (sqrt 1/3)) (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg z)) (neg z) (sqrt (* (+ (* z z) (+ (* y y) (* x x))) 1/3)) (* (+ (* z z) (+ (* y y) (* x x))) 1/3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3))) (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3)) (* 1/3 y) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)))
2.0ms
y
@-inf
((sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9) (+ (* z z) (+ (* x x) (* y y))) z (+ (* x x) (* y y)) x (* y y) y 9 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* y (sqrt 1/3)) (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg z)) (neg z) (sqrt (* (+ (* z z) (+ (* y y) (* x x))) 1/3)) (* (+ (* z z) (+ (* y y) (* x x))) 1/3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3))) (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3)) (* 1/3 y) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)))
2.0ms
z
@0
((sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9) (+ (* z z) (+ (* x x) (* y y))) z (+ (* x x) (* y y)) x (* y y) y 9 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* y (sqrt 1/3)) (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg z)) (neg z) (sqrt (* (+ (* z z) (+ (* y y) (* x x))) 1/3)) (* (+ (* z z) (+ (* y y) (* x x))) 1/3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3))) (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3)) (* 1/3 y) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)))
2.0ms
y
@inf
((sqrt (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9))) (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9) (+ (* z z) (+ (* x x) (* y y))) z (+ (* x x) (* y y)) x (* y y) y 9 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* y (sqrt 1/3)) (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg z)) (neg z) (sqrt (* (+ (* z z) (+ (* y y) (* x x))) 1/3)) (* (+ (* z z) (+ (* y y) (* x x))) 1/3) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3))) (+ (* (* 1/3 y) y) (* (+ (* z z) (* x x)) 1/3)) (* 1/3 y) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)))

rewrite272.0ms (7.1%)

Memory
21.5MiB live, 539.1MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035197
055199
1257187
21012187
34279187
08228187
120729187
Stop Event
saturated
node-limit
iter-limit
Counts
28 → 2 403
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 3 binary64) (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64)))
#s(literal 3 binary64)
(/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64))
(fma.f64 z z (fma.f64 x x (*.f64 y y)))
z
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
#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))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) y)
(*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 z z (*.f64 x x))
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 (*.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/9 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 (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1 binary64) (*.f64 z z))) #s(literal 1/3 binary64))
(*.f64 (fabs.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))) #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 (*.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/9 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 (*.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal -1/9 binary64))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(*.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) #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 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 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
(*.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 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1 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 (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 (*.f64 #s(literal 1/9 binary64) (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 1/3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/9 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(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 (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 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1 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 (fma.f64 y y (*.f64 z z)) #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 z z)) (*.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (+.f64 (neg.f64 (fma.f64 y y (*.f64 z z))) (*.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 (fma.f64 y y (*.f64 z z)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 z z)) (*.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -3 binary64))
(/.f64 (+.f64 (neg.f64 (fma.f64 y y (*.f64 z z))) (*.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -3 binary64))
(/.f64 (fma.f64 (fma.f64 y y (*.f64 z z)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64))
(/.f64 (+.f64 (fma.f64 y y (*.f64 z z)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z z)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (+.f64 (fma.f64 y y (*.f64 z z)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (fma.f64 (fma.f64 y y (*.f64 z z)) #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 z z)) (*.f64 (neg.f64 x) x)) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z z)) (*.f64 x x)) #s(literal 3 binary64))
(/.f64 (fma.f64 (fma.f64 y y (*.f64 z z)) #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (fma.f64 y y (*.f64 z z)) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (fma.f64 y y (*.f64 z z)) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 y y (*.f64 z z)) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 z z)))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 z z)))) #s(literal -3 binary64))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 z z)))) #s(literal -3 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z z)))) #s(literal 3 binary64))
(/.f64 (fma.f64 x x (*.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z z)))) #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (fma.f64 y y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (fma.f64 x x (*.f64 (fma.f64 y y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) (neg.f64 (fma.f64 y y (*.f64 z z)))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (neg.f64 (fma.f64 y y (*.f64 z z)))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))
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(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 z z))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 z z) #s(literal 1 binary64)))
(fma.f64 (neg.f64 z) (*.f64 (/.f64 z #s(literal -9 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 x x))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 9 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 z z))
(fma.f64 z (*.f64 (*.f64 z #s(literal 1/9 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 z z (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 z) z))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 z z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 z z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) (*.f64 z z))
(+.f64 (*.f64 z z) (*.f64 x x))

eval351.0ms (9.1%)

Memory
-29.4MiB live, 455.3MiB allocated; 224ms collecting garbage
Compiler

Compiled 13 039 to 5 199 computations (60.1% saved)

prune41.0ms (1.1%)

Memory
-5.1MiB live, 93.2MiB allocated; 22ms collecting garbage
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New1 36111 362
Fresh156
Picked055
Done033
Total1 362141 376
Accuracy
98.8%
Counts
1 376 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))))
49.0%
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
49.0%
(sqrt.f64 (fma.f64 z (/.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y)))))
49.0%
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 z z))))
49.0%
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))
48.9%
(sqrt.f64 (/.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 9 binary64)))
49.0%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
49.0%
(sqrt.f64 (*.f64 #s(literal 3 binary64) (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64))))
0.8%
#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))))
3.4%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
1.2%
#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 260 to 260 computations (0% saved)

series58.0ms (1.5%)

Memory
7.6MiB live, 143.9MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05444862
Stop Event
iter-limit
Counts
30 → 123
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 z z))))
(fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 z z)))
#s(literal 3 binary64)
(/.f64 (fma.f64 x x (*.f64 y y)) #s(literal 9 binary64))
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 9 binary64)
(*.f64 #s(literal 1/3 binary64) (*.f64 z z))
#s(literal 1/3 binary64)
(*.f64 z z)
z
#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))
(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 #s(literal 1/3 binary64) x) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))
(fma.f64 z z (*.f64 y y))
(sqrt.f64 (/.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 9 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)))
Outputs
#s(approx (sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (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 (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (+.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 (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (+.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 (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (+.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 (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) (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 (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) (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 (/ (+ (* x x) (* y y)) 9) (*.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (* x x) (* y y)) 9) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/9 binary64) (pow.f64 y #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)
#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 (* (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 (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3)) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3)) (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 (* 1/3 x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* z z) (+ (* x x) (* y y))) 3) (*.f64 #s(literal 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 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) (+ (* 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 (sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.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)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (*.f64 x (+.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 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 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 1/2 binary64) (/.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)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (*.f64 x (+.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 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 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 1/16 binary64) (/.f64 (pow.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 (pow.f64 x #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 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)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (+ (* x x) (* y y)) 9) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (* x x) (* y y)) 9) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (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 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 (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3)) (*.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))) 3) (*.f64 #s(literal 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 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) (+ (* 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)))))))
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#s(approx y y)
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#s(approx (* -1 (* y (sqrt 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* y (sqrt 1/3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (* (+ (* z z) (* y y)) 1/3) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (* y y)) (pow.f64 z #s(literal 2 binary64)))
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#s(approx (sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (+.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 (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) (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)
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#s(approx (+ (* (* 1/3 x) x) (* (+ (* 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 y #s(literal 2 binary64)))))
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#s(approx (sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
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#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 (* (+ (* z z) (+ (* x x) (* y y))) 3) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
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#s(approx (sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
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#s(approx (sqrt (+ (* (* 1/3 x) x) (* (+ (* 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 (+ (* (* 1/3 x) x) (* (+ (* 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 (+ (* (* 1/3 x) x) (* (+ (* 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:

TimeVariablePointExpression
6.0ms
y
@0
((sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) 3 (/ (+ (* x x) (* y y)) 9) (+ (* x x) (* y y)) x (* y y) y 9 (* 1/3 (* z z)) 1/3 (* z z) z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg x)) (sqrt 1/3) (neg x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* y (sqrt 1/3))) -1 (* y (sqrt 1/3)) (sqrt (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3))) (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3)) (* 1/3 x) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) (sqrt (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9)) (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9) (* (+ (* z z) (+ (* x x) (* y y))) 3) (+ (* z z) (+ (* x x) (* y y))))
5.0ms
x
@inf
((sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) 3 (/ (+ (* x x) (* y y)) 9) (+ (* x x) (* y y)) x (* y y) y 9 (* 1/3 (* z z)) 1/3 (* z z) z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg x)) (sqrt 1/3) (neg x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* y (sqrt 1/3))) -1 (* y (sqrt 1/3)) (sqrt (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3))) (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3)) (* 1/3 x) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) (sqrt (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9)) (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9) (* (+ (* z z) (+ (* x x) (* y y))) 3) (+ (* z z) (+ (* x x) (* y y))))
3.0ms
y
@inf
((sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) 3 (/ (+ (* x x) (* y y)) 9) (+ (* x x) (* y y)) x (* y y) y 9 (* 1/3 (* z z)) 1/3 (* z z) z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg x)) (sqrt 1/3) (neg x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* y (sqrt 1/3))) -1 (* y (sqrt 1/3)) (sqrt (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3))) (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3)) (* 1/3 x) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) (sqrt (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9)) (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9) (* (+ (* z z) (+ (* x x) (* y y))) 3) (+ (* z z) (+ (* x x) (* y y))))
2.0ms
x
@0
((sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) 3 (/ (+ (* x x) (* y y)) 9) (+ (* x x) (* y y)) x (* y y) y 9 (* 1/3 (* z z)) 1/3 (* z z) z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg x)) (sqrt 1/3) (neg x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* y (sqrt 1/3))) -1 (* y (sqrt 1/3)) (sqrt (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3))) (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3)) (* 1/3 x) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) (sqrt (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9)) (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9) (* (+ (* z z) (+ (* x x) (* y y))) 3) (+ (* z z) (+ (* x x) (* y y))))
2.0ms
y
@-inf
((sqrt (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z)))) (+ (* 3 (/ (+ (* x x) (* y y)) 9)) (* 1/3 (* z z))) 3 (/ (+ (* x x) (* y y)) 9) (+ (* x x) (* y y)) x (* y y) y 9 (* 1/3 (* z z)) 1/3 (* z z) z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) (neg x)) (sqrt 1/3) (neg x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* y (sqrt 1/3))) -1 (* y (sqrt 1/3)) (sqrt (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3))) (+ (* (* 1/3 x) x) (* (+ (* z z) (* y y)) 1/3)) (* 1/3 x) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) (sqrt (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9)) (/ (* (+ (* z z) (+ (* x x) (* y y))) 3) 9) (* (+ (* z z) (+ (* x x) (* y y))) 3) (+ (* z z) (+ (* x x) (* y y))))

rewrite438.0ms (11.4%)

Memory
38.1MiB live, 465.2MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037212
060216
1257192
21054192
35236192
08503192
120182192
Stop Event
saturated
node-limit
iter-limit
Counts
30 → 2 485
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 z z))))
(fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 z z)))
#s(literal 3 binary64)
(/.f64 (fma.f64 x x (*.f64 y y)) #s(literal 9 binary64))
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 9 binary64)
(*.f64 #s(literal 1/3 binary64) (*.f64 z z))
#s(literal 1/3 binary64)
(*.f64 z z)
z
#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))
(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 #s(literal 1/3 binary64) x) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))
(fma.f64 z z (*.f64 y y))
(sqrt.f64 (/.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 9 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)))
Outputs
(pow.f64 (pow.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)))))
(fabs.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64))))
(*.f64 (fabs.f64 (/.f64 (*.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal -3 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 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))) #s(literal 1/9 binary64))
(*.f64 (fabs.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 3 binary64))
(*.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (*.f64 #s(literal -3 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y))))))
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #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 #s(literal -3 binary64) (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal -1/9 binary64)))
(*.f64 #s(literal -3 binary64) (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal -9 binary64)))
(*.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal -1/3 binary64))
(*.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(*.f64 (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 x x (*.f64 y y))) #s(literal 1/3 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 3 binary64) (fabs.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal -1/9 binary64))))
(*.f64 #s(literal 3 binary64) (fabs.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal -9 binary64))))
(*.f64 #s(literal 3 binary64) (fabs.f64 (*.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal -1/9 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal -1/9 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/9 binary64) (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(pow.f64 (pow.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -1 binary64))) #s(literal -3 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 z z (*.f64 y y)))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 #s(literal -1 binary64) (fma.f64 z z (*.f64 y y)))) #s(literal -3 binary64))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal -1 binary64) (fma.f64 z z (*.f64 y y)))) #s(literal -3 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal -3 binary64)) (/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -3 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))
(/.f64 (fma.f64 x x (/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -3 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -3 binary64))) #s(literal -9 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal -3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) x) (*.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) (fma.f64 z z (*.f64 y y)))) #s(literal -9 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (fma.f64 z z (*.f64 y y)))) #s(literal -9 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x 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 #s(literal 3 binary64)) x (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 9 binary64) (*.f64 (*.f64 z z) #s(literal 3 binary64)))) #s(literal 9 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -3 binary64) (*.f64 (neg.f64 z) z))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -3 binary64) (*.f64 (neg.f64 z) z))) #s(literal -3 binary64))
(/.f64 (fma.f64 (neg.f64 x) x (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -3 binary64) (*.f64 (neg.f64 z) z))) #s(literal -3 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 3 binary64) (*.f64 z z))) #s(literal 3 binary64))
(/.f64 (fma.f64 x x (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 3 binary64) (*.f64 z z))) #s(literal 3 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -3 binary64) (*.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (*.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) (neg.f64 (fma.f64 z z (*.f64 y y)))) #s(literal -3 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (neg.f64 (fma.f64 z z (*.f64 y y)))) #s(literal -3 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal -3 binary64)) (fma.f64 z z (*.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))
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(fma.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal -1/3 binary64) z) #s(literal 9 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 z (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 z z) #s(literal 9 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)))
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (fma.f64 z z (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (fma.f64 z z (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)))
(-.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(-.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64)))
(-.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (fma.f64 z z (*.f64 y y))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (fma.f64 x x (*.f64 y y))))
(-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 z z)))
(-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64)))
(-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64))))
(+.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)))
(+.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(+.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(*.f64 #s(literal 1 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 binary64))
(neg.f64 (*.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 y)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 y)))) (fma.f64 z z (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (fma.f64 z z (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 z z (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 z) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (fma.f64 z z (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y) (fma.f64 z z (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (fma.f64 z z (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 z z (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 z z))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) (fma.f64 z z (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y y)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 z z (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (fma.f64 z z (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 9 binary64) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 (*.f64 (fabs.f64 x) #s(literal 1/9 binary64)) #s(literal 9 binary64))) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 (/.f64 x #s(literal -9 binary64)) #s(literal 9 binary64))) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 9 binary64))) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) #s(literal 1/9 binary64)) #s(literal 9 binary64)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))) (fma.f64 z z (*.f64 x x)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 z z (*.f64 x x)))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 z z (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) #s(literal 3 binary64) (fma.f64 z z (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64) (*.f64 z z))
(fma.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (fma.f64 z z (*.f64 x x)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 x #s(literal -9 binary64)) #s(literal 9 binary64)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 z z (*.f64 y y)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 z z (*.f64 y y)))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 z z (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64) (*.f64 z z))
(fma.f64 #s(literal 9 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1 binary64) (*.f64 z z))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))
(fma.f64 y y (fma.f64 z z (*.f64 x x)))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 9 binary64)) (fma.f64 z z (*.f64 y y)))
(fma.f64 x x (fma.f64 z z (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y))) (*.f64 z z))
(-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (neg.f64 y) y))
(-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (neg.f64 (fma.f64 z z (*.f64 y y))))
(-.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y))))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (neg.f64 z) z))
(-.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 z) z) (*.f64 x x)))
(-.f64 (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x))))
(+.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y))
(+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))
(+.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 y y) (fma.f64 z z (*.f64 x x)))

eval275.0ms (7.2%)

Memory
-44.9MiB live, 537.0MiB allocated; 79ms collecting garbage
Compiler

Compiled 14 137 to 5 560 computations (60.7% saved)

prune67.0ms (1.7%)

Memory
28.1MiB live, 73.6MiB allocated; 5ms collecting garbage
Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New1 53831 541
Fresh011
Picked235
Done088
Total1 540151 555
Accuracy
98.8%
Counts
1 555 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(sqrt.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/9 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
49.0%
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))))
49.0%
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
49.0%
(sqrt.f64 (fma.f64 z (/.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y)))))
48.9%
(sqrt.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64))) #s(literal 9 binary64)))
49.0%
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))
48.9%
(sqrt.f64 (/.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 9 binary64)))
49.0%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
49.0%
(sqrt.f64 (*.f64 #s(literal 3 binary64) (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 9 binary64))))
0.8%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
1.2%
#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))))
3.4%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
Compiler

Compiled 372 to 293 computations (21.2% saved)

regimes75.0ms (2%)

Memory
-1.3MiB live, 182.7MiB allocated; 23ms collecting garbage
Counts
24 → 1
Calls
Call 1
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 y y (*.f64 x x))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #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 x (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
(sqrt.f64 (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64))))
(sqrt.f64 (*.f64 #s(literal 3 binary64) (/.f64 (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 (/.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 9 binary64)))
(sqrt.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/9 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64))) #s(literal 9 binary64)))
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 z z))))
(sqrt.f64 (fma.f64 z (/.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 y y)))))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 9 binary64)))
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
Calls

10 calls:

10.0ms
(*.f64 y y)
10.0ms
z
9.0ms
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
8.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
7.0ms
y
Results
AccuracySegmentsBranch
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%1x
97.8%1y
97.8%1z
Compiler

Compiled 43 to 56 computations (-30.2% saved)

regimes21.0ms (0.5%)

Memory
-17.6MiB live, 48.5MiB allocated; 16ms collecting garbage
Counts
2 → 1
Calls
Call 1
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))))
Calls

10 calls:

9.0ms
(*.f64 y y)
1.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
5.8%1(*.f64 z z)
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(*.f64 y y)
5.8%1(*.f64 x x)
5.8%1(+.f64 (*.f64 x x) (*.f64 y y))
5.8%1x
5.8%1y
5.8%1z
Compiler

Compiled 43 to 56 computations (-30.2% saved)

regimes13.0ms (0.3%)

Memory
-1.7MiB live, 44.3MiB allocated; 4ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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))))
Calls

10 calls:

3.0ms
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
1.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
3.4%1z
3.4%1(*.f64 z z)
3.4%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
3.4%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
3.4%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
3.4%1(*.f64 y y)
3.4%1(+.f64 (*.f64 x x) (*.f64 y y))
3.4%1y
3.4%1(*.f64 x x)
3.4%1x
Compiler

Compiled 43 to 56 computations (-30.2% saved)

derivations3.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 35 to 19 computations (45.7% saved)

preprocess67.0ms (1.7%)

Memory
-2.5MiB live, 179.5MiB allocated; 27ms collecting garbage
Remove

(abs z)

(abs y)

(sort x y z)

Compiler

Compiled 646 to 630 computations (2.5% saved)

end0.0ms (0%)

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

Profiling

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