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

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB 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)

sample928.0ms (37.9%)

Memory
44.2MiB live, 1 488.5MiB allocated; 325ms collecting garbage
Samples
624.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 345.0ms
ival-mult!: 157.0ms (45.6% of total)
ival-sqrt: 112.0ms (32.5% of total)
ival-div!: 43.0ms (12.5% of total)
ival-add!: 31.0ms (9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess34.0ms (1.4%)

Memory
-2.7MiB live, 44.8MiB allocated; 7ms 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
43.5%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 28 to 22 computations (21.4% saved)

series30.0ms (1.2%)

Memory
4.0MiB live, 50.7MiB allocated; 3ms 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:

TimeVariablePoint
3.0ms
z
0
2.0ms
y
-inf
2.0ms
x
inf
2.0ms
y
inf
2.0ms
y
0

rewrite147.0ms (6%)

Memory
-23.2MiB live, 164.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01158
01858
110358
247658
3202058
0478551
Stop Event
iter-limit
node-limit
iter-limit
Counts
11 → 594
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))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (sqrt.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal 1/9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (*.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64) (fma.f64 z z (*.f64 y y)))) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal -3 binary64) (neg.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 3 binary64) (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 y y (*.f64 x x))) #s(literal -3 binary64) (*.f64 (neg.f64 z) z))) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 z) z) #s(literal -3 binary64) (*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal -3 binary64)))) (sqrt.f64 #s(literal 9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal -3 binary64)))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 z z) #s(literal -3 binary64) (*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal -3 binary64) (*.f64 (*.f64 (neg.f64 z) z) #s(literal -3 binary64)))) (sqrt.f64 #s(literal 9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64) (*.f64 (*.f64 z z) #s(literal -3 binary64)))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) #s(literal -3 binary64) (*.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(literal 9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 z) z) #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) (neg.f64 (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 #s(literal 9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 z z) #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal 9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal 9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 #s(literal -9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (pow.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (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 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 1/2 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal 9 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (pow.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
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#s(approx (pow y 2) (*.f64 (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow y 2) (*.f64 (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow y 2) (*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (pow y 2) (*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 y)))
#s(approx (pow y 2) (*.f64 (pow.f64 y #s(literal 1 binary64)) y))
#s(approx (pow y 2) (exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64))))
#s(approx (pow y 2) (exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))))
#s(approx (pow y 2) (*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64))))
#s(approx (pow y 2) (*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
#s(approx (pow y 2) (*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))))
#s(approx (pow y 2) (*.f64 (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow y 2) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
#s(approx (pow y 2) (*.f64 y y))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y)))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
y
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
#s(approx (pow z 2) (*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 z))))
#s(approx (pow z 2) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z z) #s(literal -1 binary64))))
#s(approx (pow z 2) (exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 z))) #s(literal 2 binary64))))
#s(approx (pow z 2) (exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1 binary64))))
#s(approx (pow z 2) (*.f64 (*.f64 z z) (pow.f64 (*.f64 z z) #s(literal 0 binary64))))
#s(approx (pow z 2) (/.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64))))
#s(approx (pow z 2) (/.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal -1 binary64))))
#s(approx (pow z 2) (/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))))
#s(approx (pow z 2) (/.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))))
#s(approx (pow z 2) (*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64))))
#s(approx (pow z 2) (*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64))))
#s(approx (pow z 2) (*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64))))
#s(approx (pow z 2) (*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64))))
#s(approx (pow z 2) (*.f64 (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow z 2) (*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow z 2) (*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (fabs.f64 z)))
#s(approx (pow z 2) (*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z)))
#s(approx (pow z 2) (*.f64 (pow.f64 z #s(literal 1 binary64)) z))
#s(approx (pow z 2) (exp.f64 (*.f64 (log.f64 (fabs.f64 z)) #s(literal 2 binary64))))
#s(approx (pow z 2) (exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64))))
#s(approx (pow z 2) (*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64))))
#s(approx (pow z 2) (*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64))))
#s(approx (pow z 2) (*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))))
#s(approx (pow z 2) (*.f64 (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow z 2) (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))
#s(approx (pow z 2) (*.f64 z z))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (*.f64 (*.f64 z z) (*.f64 z z)))
(fabs.f64 (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))))
(fabs.f64 (*.f64 z (neg.f64 (fabs.f64 z))))
(fabs.f64 (*.f64 (neg.f64 z) (fabs.f64 z)))
(fabs.f64 (*.f64 z (fabs.f64 z)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 z)))
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 z)) z))
(fabs.f64 (*.f64 (fabs.f64 z) z))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
z
#s(literal 3 binary64)

eval96.0ms (3.9%)

Memory
3.8MiB live, 144.2MiB allocated; 23ms collecting garbage
Compiler

Compiled 15 651 to 2 769 computations (82.3% saved)

prune14.0ms (0.6%)

Memory
34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6409649
Fresh000
Picked101
Done000
Total6419650
Accuracy
98.7%
Counts
650 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.5%
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))
43.5%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
43.4%
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64))))
97.9%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
5.9%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
1.1%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
1.6%
#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 344 to 268 computations (22.1% saved)

series25.0ms (1%)

Memory
-2.8MiB live, 42.9MiB allocated; 4ms 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:

TimeVariablePoint
4.0ms
x
inf
2.0ms
x
0
1.0ms
x
-inf
1.0ms
z
-inf
1.0ms
z
inf

rewrite222.0ms (9.1%)

Memory
-47.7MiB live, 215.4MiB allocated; 127ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027149
037137
1201137
2726137
32564137
04204137
Stop Event
iter-limit
node-limit
iter-limit
Counts
20 → 627
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 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
z
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt 1/3) (exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
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(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 y) y))) #s(literal 9 binary64))
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(neg.f64 (*.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1 binary64)))
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(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 (neg.f64 (fabs.f64 x))) (fabs.f64 x) (fma.f64 z z (*.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 (neg.f64 x) x) #s(literal -1 binary64) (fma.f64 z z (*.f64 y y)))
(fma.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64) (fma.f64 x x (*.f64 y y)))
(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 (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 3 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 z) (fabs.f64 (*.f64 (*.f64 (fabs.f64 z) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 z) (fabs.f64 (*.f64 (*.f64 z #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 z) (fabs.f64 (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 z) (*.f64 (*.f64 (fabs.f64 z) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y)))
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(fma.f64 (fabs.f64 z) (fabs.f64 z) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))) (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 (*.f64 z #s(literal -1/3 binary64)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 x x (*.f64 y y)))
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(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 z z (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 z z (*.f64 y y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (fma.f64 z z (*.f64 y y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 z z)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 z (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 z z (fma.f64 x x (*.f64 y y)))
(fma.f64 y y (fma.f64 z z (*.f64 x x)))
(fma.f64 x x (fma.f64 z z (*.f64 y y)))
(-.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)))
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#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (*.f64 y y)))
#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))))
#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))))
#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))))))
#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))))))
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)))
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 y y) (*.f64 x x))))
#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y y))))
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(neg.f64 (neg.f64 (fma.f64 x x (*.f64 y y))))
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(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 y y))
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(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 x x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
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(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 x x))
y
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.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) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (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))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow x 2) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (pow x 2) (*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow x 2) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (pow x 2) (*.f64 (pow.f64 x #s(literal 1 binary64)) x))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (pow x 2) (*.f64 x x))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(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))
#s(literal 3 binary64)

eval111.0ms (4.5%)

Memory
4.8MiB live, 236.8MiB allocated; 47ms collecting garbage
Compiler

Compiled 19 039 to 2 927 computations (84.6% saved)

prune23.0ms (0.9%)

Memory
19.6MiB live, 66.1MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New7696775
Fresh044
Picked235
Done000
Total77113784
Accuracy
98.8%
Counts
784 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.5%
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))
43.5%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
43.4%
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64))))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
97.9%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
97.1%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
5.9%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))
1.1%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))
Compiler

Compiled 498 to 401 computations (19.5% saved)

series19.0ms (0.8%)

Memory
3.3MiB live, 48.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02241726
Stop Event
iter-limit
Counts
23 → 40
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
z
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 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)))
y
(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)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
#s(literal -1 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 (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 (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 (* y (sqrt 1/3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx y y)
#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 (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 (* (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 (/ (+ (+ (* 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 (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:

TimeVariablePoint
1.0ms
z
-inf
1.0ms
z
inf
1.0ms
y
-inf
1.0ms
x
-inf
1.0ms
y
inf

rewrite111.0ms (4.5%)

Memory
16.4MiB live, 203.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031176
043174
1150166
2596166
32404166
04015128
Stop Event
iter-limit
node-limit
iter-limit
Counts
23 → 174
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
z
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 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)))
y
(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)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
#s(literal -1 binary64)
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64))) z)
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 z (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.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 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64))) z (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64))) z (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(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 (*.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 #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 z (*.f64 (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 z (*.f64 (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 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)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
z
(pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 6 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
#s(approx (sqrt 1/3) (exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 #s(literal 9 binary64) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
#s(approx (pow 9 -1/4) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 0 binary64))))
#s(approx (pow 9 -1/4) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64))))
#s(approx (pow 9 -1/4) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64))))
#s(approx (pow 9 -1/4) (*.f64 (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64)))))
#s(approx (pow 9 -1/4) (exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64))))
#s(approx (pow 9 -1/4) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))))
#s(approx (pow 9 -1/4) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
#s(approx (pow 9 -1/4) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (pow 9 -1/4) (exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))))
#s(approx (pow 9 -1/4) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (pow 9 -1/4) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
#s(literal 1 binary64)
#s(literal 1 binary64)
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
#s(approx (sqrt 3) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (sqrt 3) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64))))
#s(approx (sqrt 3) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt 3) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt 3) (*.f64 (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
#s(approx (sqrt 3) (exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 3 binary64)))
#s(literal 3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
y
(pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 6 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
#s(approx (sqrt 1/3) (exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.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 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(*.f64 z #s(literal -1 binary64))
(neg.f64 z)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) z)
(*.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
#s(literal -1 binary64)

eval46.0ms (1.9%)

Memory
-40.6MiB live, 110.2MiB allocated; 27ms collecting garbage
Compiler

Compiled 10 995 to 1 131 computations (89.7% saved)

prune14.0ms (0.6%)

Memory
31.6MiB live, 31.6MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New3633366
Fresh055
Picked325
Done033
Total36613379
Accuracy
98.8%
Counts
379 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.5%
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))
43.5%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
43.4%
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64))))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
97.9%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
97.1%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
5.9%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
1.1%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))
Compiler

Compiled 453 to 364 computations (19.6% saved)

series92.0ms (3.8%)

Memory
-0.1MiB live, 77.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05885064
Stop Event
iter-limit
Counts
30 → 120
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
z
#s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 x #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
#s(literal -1 binary64)
(*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 1 binary64))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
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 (* (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 x x)
#s(approx (* x (sqrt 1/3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
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#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (+ (* z 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 (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 y (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (+ (* z 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 (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 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 (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (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 (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 z (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (+ (* z 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 (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)))))))))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
#s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))))
Calls

9 calls:

TimeVariablePoint
41.0ms
x
-inf
2.0ms
x
0
2.0ms
x
inf
2.0ms
z
inf
2.0ms
z
0

rewrite140.0ms (5.7%)

Memory
-9.0MiB live, 188.4MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046242
064230
1303218
2909218
33164206
04044166
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 697
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
z
#s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 x #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
#s(literal -1 binary64)
(*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 1 binary64))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
Outputs
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
z
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 0 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64)))))
#s(approx (sqrt 1/3) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt 1/3) (exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
#s(approx (sqrt 1/3) (*.f64 (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
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(fma.f64 z z (fma.f64 x x (*.f64 y y)))
(fma.f64 y y (fma.f64 z z (*.f64 x x)))
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(+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x))
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#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))))
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#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))))))
#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))))))
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)))
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x)))
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#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y y))))
#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))))))
#s(approx (+ (pow x 2) (pow y 2)) (/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 y y))))))
(neg.f64 (neg.f64 (fma.f64 x x (*.f64 y y))))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x) (*.f64 y y))
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(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 y y))
(fma.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 x x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))) (*.f64 y y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y y))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 y y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 x x))
y
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
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(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
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(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
#s(approx (pow x 2) (*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x)))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64))))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64))))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))))
#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64))))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))
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#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
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#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (pow x 2) (*.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 x #s(literal 1 binary64)) x))
#s(approx (pow x 2) (*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))))
#s(approx (pow x 2) (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
#s(approx (pow x 2) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (pow x 2) (*.f64 x x))
(neg.f64 (*.f64 (neg.f64 x) x))
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eval90.0ms (3.7%)

Memory
33.6MiB live, 169.3MiB allocated; 51ms collecting garbage
Compiler

Compiled 22 586 to 2 847 computations (87.4% saved)

prune20.0ms (0.8%)

Memory
-0.6MiB live, 44.1MiB allocated; 8ms collecting garbage
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New5796585
Fresh033
Picked145
Done145
Total58117598
Accuracy
99.1%
Counts
598 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.5%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
0.7%
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 #s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) z)) (sqrt.f64 #s(literal 3 binary64))))
1.1%
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 #s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal 3 binary64))))
97.9%
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
5.9%
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 y (sqrt.f64 #s(literal 3 binary64)))))
3.5%
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 x (sqrt.f64 #s(literal 3 binary64)))))
1.6%
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 3 binary64))))))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
97.9%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
97.1%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
5.9%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
1.1%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))
Compiler

Compiled 441 to 340 computations (22.9% saved)

regimes180.0ms (7.4%)

Memory
-45.1MiB live, 208.2MiB allocated; 58ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
2 → 1
5 → 1
25 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
Call 2
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
Call 3
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 x (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 y (sqrt.f64 #s(literal 3 binary64)))))
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
Call 4
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 (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 x (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 y (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 z (sqrt.f64 #s(literal 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 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)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 #s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 #s(approx (sqrt (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal -1 binary64) z)) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z #s(approx (sqrt 1/3) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z #s(approx (sqrt 1/3) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 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)))
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) (/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64))))
Outputs
#s(approx (sqrt (/ (+ (pow z 2) (+ (pow y 2) (pow x 2))) 3)) #s(approx (/ (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt 3)) (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
Calls

40 calls:

29.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
17.0ms
z
7.0ms
(*.f64 x x)
7.0ms
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
7.0ms
x
Results
AccuracySegmentsBranch
3.5%1z
3.5%1(*.f64 y y)
3.5%1(+.f64 (*.f64 x x) (*.f64 y y))
3.5%1x
3.5%1y
3.5%1(*.f64 x x)
3.5%1(*.f64 z z)
3.5%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
3.5%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
3.5%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
5.9%1(*.f64 z z)
5.9%1(*.f64 y y)
5.9%1(*.f64 x x)
5.9%1(+.f64 (*.f64 x x) (*.f64 y y))
5.9%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
5.9%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
5.9%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
5.9%1x
5.9%1y
5.9%1z
97.9%1(*.f64 z z)
97.9%1(*.f64 x x)
97.9%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
97.9%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
97.9%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
97.9%1x
97.9%1y
97.9%1z
97.9%1(*.f64 y y)
97.9%1(+.f64 (*.f64 x x) (*.f64 y y))
97.9%1(*.f64 z z)
97.9%1(*.f64 y y)
97.9%1(*.f64 x x)
97.9%1(+.f64 (*.f64 x x) (*.f64 y y))
97.9%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
97.9%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
97.9%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
97.9%1x
97.9%1y
97.9%1z
Compiler

Compiled 842 to 329 computations (60.9% saved)

derivations21.0ms (0.9%)

Memory
40.8MiB live, 40.8MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 92 to 37 computations (59.8% saved)

preprocess83.0ms (3.4%)

Memory
-1.3MiB live, 185.2MiB allocated; 30ms collecting garbage
Remove

(abs z)

(abs y)

(sort x y z)

Compiler

Compiled 1 146 to 848 computations (26% saved)

end0.0ms (0%)

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

Profiling

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