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

Time bar (total: 2.3s)

start0.0ms (0.0%)

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

analyze1.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
0.0%0.0%99.9%0.1%0.0%0.0%0.0%3
100.0%99.9%0.0%0.1%0.0%0.0%0.0%4
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample930.0ms (40.7%)

Memory
-8.0MiB live, 1 270.2MiB allocated; 315ms collecting garbage
Samples
583.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-mult!: 168.0ms (46.3% of total)
ival-sqrt: 92.0ms (25.4% of total)
ival-div!: 71.0ms (19.6% of total)
ival-add!: 31.0ms (8.5% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess50.0ms (2.2%)

Memory
-17.1MiB live, 39.4MiB allocated; 38ms 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
44.3%
(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)

(sort x z)

(sort y z)

Compiler

Compiled 28 to 22 computations (21.4% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
3
Outputs
#s(literal 3 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series28.0ms (1.2%)

Memory
41.2MiB live, 41.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02822284
Stop Event
iter-limit
Counts
11 → 63
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
#s(literal 3 binary64)
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx y y)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64)))
#s(approx z z)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
Calls

9 calls:

TimeVariablePoint
3.0ms
x
0
2.0ms
x
inf
2.0ms
y
inf
2.0ms
y
0
1.0ms
z
inf

rewrite122.0ms (5.3%)

Memory
11.1MiB live, 150.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01158
01858
19558
242658
3176058
0439251
Stop Event
iter-limit
node-limit
iter-limit
Counts
11 → 590
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
(*.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))))))))
(*.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))))))
(*.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)))
(*.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)))
(*.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)))
(*.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))))))
(*.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)))
(*.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)))))))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal -1/3 binary64)))
(*.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)))
(*.f64 (pow.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)))
(*.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/4 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))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.f64 (sqrt.f64 (neg.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 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/9 binary64))
(*.f64 (fabs.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/3 binary64))
(*.f64 (fabs.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1 binary64)))
(*.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 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 binary64)))
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x
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(*.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))))
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(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y y) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y)))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
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(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)))
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(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))))
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(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z))
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(*.f64 (pow.f64 z #s(literal 1 binary64)) z)
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(*.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))
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(*.f64 z z)
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(pow.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/2 binary64))
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(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)))
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(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 z)) z))
(fabs.f64 (*.f64 (fabs.f64 z) z))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
z
#s(literal 3 binary64)

eval81.0ms (3.5%)

Memory
-37.5MiB live, 146.9MiB allocated; 22ms collecting garbage
Compiler

Compiled 13 625 to 2 548 computations (81.3% saved)

prune14.0ms (0.6%)

Memory
33.1MiB live, 33.1MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6369645
Fresh000
Picked101
Done000
Total6379646
Accuracy
99.2%
Counts
646 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.2%
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
44.3%
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
44.3%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
98.3%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
5.6%
#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)))))
1.2%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
1.6%
#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 314 to 248 computations (21.0% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(sqrt 1/3)
1/3
-1
3
Outputs
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series28.0ms (1.2%)

Memory
-8.9MiB live, 42.5MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02852243
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 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))
(fma.f64 x x (fma.f64 z z (*.f64 y y)))
(fma.f64 z z (*.f64 y y))
(*.f64 y y)
y
#s(literal 3 binary64)
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (* x (sqrt 1/3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx x x)
#s(approx (* -1 (* x (sqrt 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (/ (+ (* x x) (+ (* z z) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* x x) (+ (* z z) (* y y))) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* x x) (+ (* z z) (* y y))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* x x) (+ (* z z) (* y y))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* 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) (+ (* z z) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (* x x) (+ (* z z) (* y y))) 3) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (+ (* z z) (* y y))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) (+ (* z z) (* y y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (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) (+ (* z z) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* x x) (+ (* z z) (* y y))) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* x x) (+ (* z z) (* y y))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (* y y)) (pow.f64 z #s(literal 2 binary64)))
#s(approx (* y y) (pow.f64 y #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) (+ (* z z) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (* x x) (+ (* z z) (* y y))) 3) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (+ (* z z) (* y y))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* z z) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 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 (/ (+ (* x x) (+ (* z z) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ (* x x) (+ (* z z) (* y y))) 3) (fma.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* x x) (+ (* z z) (* y y))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 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) (+ (* z z) (* y y))) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (* x x) (+ (* z z) (* y y))) 3) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (+ (* z z) (* y y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (* z z) (* y y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* 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
7.0ms
y
inf
2.0ms
x
0
1.0ms
x
inf
1.0ms
z
inf
1.0ms
z
-inf

rewrite152.0ms (6.7%)

Memory
-9.3MiB live, 185.2MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027149
037137
1168137
2658137
32438137
04098137
Stop Event
iter-limit
node-limit
iter-limit
Counts
20 → 675
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 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))
(fma.f64 x x (fma.f64 z z (*.f64 y y)))
(fma.f64 z z (*.f64 y y))
(*.f64 y y)
y
#s(literal 3 binary64)
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
z
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.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)))
(*.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)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.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))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1 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))
(/.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 1/3 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))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (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)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
#s(literal 1/3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (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 x) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) x)
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
#s(literal -1 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) z)
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.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)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.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)))
(*.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)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64))))
(*.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)))
(*.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)))
(*.f64 (pow.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(pow.f64 (pow.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 y y))) (sqrt.f64 #s(literal 3 binary64)))
(/.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)))
(/.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)))
(/.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)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64)) #s(literal -3 binary64) (*.f64 (neg.f64 x) x))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -3 binary64) (neg.f64 (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 9 binary64)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) #s(literal -3 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -3 binary64)))) (sqrt.f64 #s(literal 9 binary64)))
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(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
#s(literal 3 binary64)

eval102.0ms (4.5%)

Memory
19.1MiB live, 157.1MiB allocated; 14ms collecting garbage
Compiler

Compiled 18 043 to 2 922 computations (83.8% saved)

prune24.0ms (1.1%)

Memory
-5.4MiB live, 46.9MiB allocated; 7ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New8198827
Fresh044
Picked415
Done000
Total82313836
Accuracy
99.3%
Counts
836 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.2%
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
44.3%
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
44.3%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
97.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
98.3%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
5.6%
#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 (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
1.2%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
Compiler

Compiled 478 to 383 computations (19.9% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1300077228592327/2251799813685248
(sqrt 1/3)
1/3
-1
(/ (sqrt 1) (sqrt 3))
(sqrt 1)
1
(sqrt 3)
3
Outputs
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal -1 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 3900231685776981/2251799813685248 binary64)
#s(literal 3 binary64)
Samples
0.0ms0valid
Compiler

Compiled 18 to 11 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series38.0ms (1.7%)

Memory
-20.9MiB live, 26.1MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371762
Stop Event
iter-limit
Counts
24 → 43
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
(*.f64 z #s(literal 1300077228592327/2251799813685248 binary64))
z
#s(literal 1300077228592327/2251799813685248 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
(*.f64 x #s(literal 1300077228592327/2251799813685248 binary64))
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(literal -1 binary64)
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
y
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 z (/.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)
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 1300077228592327/2251799813685248) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x))
#s(approx x x)
#s(approx (* (sqrt 1/3) (neg x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (/ (+ (+ (* 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 (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 (* -1 (* y (sqrt 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* y (sqrt 1/3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx 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 (+.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 1300077228592327/2251799813685248) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) z))
#s(approx z z)
#s(approx (* z (/ (sqrt 1) (sqrt 3))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 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 (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
21.0ms
z
-inf
1.0ms
z
inf
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite115.0ms (5.0%)

Memory
1.8MiB live, 189.2MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031144
043138
1145137
2554137
32177137
04132126
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 231
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
(*.f64 z #s(literal 1300077228592327/2251799813685248 binary64))
z
#s(literal 1300077228592327/2251799813685248 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
(*.f64 x #s(literal 1300077228592327/2251799813685248 binary64))
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(literal -1 binary64)
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
y
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 z (/.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)
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) z))
(*.f64 (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1300077228592327/2251799813685248 binary64) z)
(*.f64 z #s(literal 1300077228592327/2251799813685248 binary64))
z
#s(literal 1300077228592327/2251799813685248 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x))
(*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x)
(*.f64 x #s(literal 1300077228592327/2251799813685248 binary64))
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) x)
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.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)))
(*.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)))
(*.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)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(*.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)))
(*.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))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.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))))
(*.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))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 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)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 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 9 binary64) #s(literal -1/4 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))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -6 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 6 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.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) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
#s(literal 1/3 binary64)
(neg.f64 x)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) y)
(*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
#s(literal -1 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) y (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) y (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
(fma.f64 y (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 0 binary64)))
(fma.f64 y (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 0 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
y
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(neg.f64 (*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.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)))
(*.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)))
(*.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)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(*.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)))
(*.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))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.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))))
(*.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))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 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)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 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 9 binary64) #s(literal -1/4 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))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -6 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 6 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.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) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.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)))
(*.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)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.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))))
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
(pow.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)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(literal 3 binary64)

eval29.0ms (1.3%)

Memory
8.5MiB live, 53.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 351 to 954 computations (87.0% saved)

prune13.0ms (0.6%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New2594263
Fresh167
Picked235
Done011
Total26214276
Accuracy
99.3%
Counts
276 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.2%
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
44.3%
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
44.3%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
98.3%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 x)))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
1.2%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y)))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
98.3%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
5.6%
#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 (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
1.2%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
Compiler

Compiled 456 to 365 computations (20.0% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(sqrt 3)
3
(sqrt 1/3)
1/3
(/ (sqrt 1) (sqrt 3))
(sqrt 1)
1
-1
Outputs
#s(literal 3900231685776981/2251799813685248 binary64)
#s(literal 3 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 17 to 10 computations (41.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series34.0ms (1.5%)

Memory
-16.0MiB live, 29.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02361779
Stop Event
iter-limit
Counts
23 → 43
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(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 (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
x
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
#s(literal -1 binary64)
(*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #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) (sqrt 3))) (/.f64 x (sqrt.f64 #s(literal 3 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 (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 3)) (/.f64 z (sqrt.f64 #s(literal 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 (* -1 (* z (/ (sqrt 1) (sqrt 3)))) (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 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
16.0ms
y
-inf
1.0ms
z
-inf
1.0ms
z
inf
1.0ms
z
0
1.0ms
x
-inf

rewrite122.0ms (5.3%)

Memory
20.7MiB live, 162.7MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030153
042141
1149140
2586140
32264140
04216129
Stop Event
iter-limit
node-limit
iter-limit
Counts
23 → 309
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(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 (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
x
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
#s(literal -1 binary64)
(*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #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 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 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))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (*.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 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (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 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
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.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)))
(*.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)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.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))))
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
(pow.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)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 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
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.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)))
(*.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)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(*.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)))
(*.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)))
(*.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))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.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))))
(*.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))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 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 9 binary64) #s(literal -1/4 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -6 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 6 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.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 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (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 -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(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)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 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 (*.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 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) z))
(/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (neg.f64 (sqrt.f64 #s(literal 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 (neg.f64 z) #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 z)
(fma.f64 #s(literal -1 binary64) z (*.f64 (neg.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal 0 binary64) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 z)))
(fma.f64 z #s(literal -1 binary64) (*.f64 (neg.f64 z) #s(literal 0 binary64)))
(fma.f64 z #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 z)))
(+.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 0 binary64)))
(+.f64 (neg.f64 z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.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)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) x))
(/.f64 x (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) x))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))
(neg.f64 (*.f64 x (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64))))
x
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.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)))
(*.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)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(*.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)))
(*.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)))
(*.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))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.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))))
(*.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))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 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 9 binary64) #s(literal -1/4 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -6 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 6 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.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 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (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 -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(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)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) z)
(*.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) z))
(/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
#s(literal -1 binary64)
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 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))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (*.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 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(fma.f64 (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 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)))

eval42.0ms (1.8%)

Memory
-37.2MiB live, 109.8MiB allocated; 22ms collecting garbage
Compiler

Compiled 8 420 to 998 computations (88.1% saved)

prune11.0ms (0.5%)

Memory
28.7MiB live, 28.7MiB allocated; 0ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New3067313
Fresh055
Picked505
Done044
Total31116327
Accuracy
99.4%
Counts
327 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.2%
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
44.3%
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
44.3%
(sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/3 binary64)))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
98.3%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z #s(literal 3900231685776981/2251799813685248 binary64)))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 x (sqrt.f64 #s(literal 3 binary64))))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 x)))
1.2%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y)))
1.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
98.3%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
5.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
5.6%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y #s(literal 1300077228592327/2251799813685248 binary64)))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) #s(literal 3900231685776981/2251799813685248 binary64))))
3.5%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
0.7%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) (neg.f64 z)))
1.2%
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
Compiler

Compiled 294 to 233 computations (20.7% saved)

regimes164.0ms (7.2%)

Memory
-10.6MiB live, 357.7MiB allocated; 57ms collecting garbage
Counts
1 → 1
2 → 1
3 → 1
29 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
Call 2
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y #s(literal 1300077228592327/2251799813685248 binary64)))
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y #s(literal 1300077228592327/2251799813685248 binary64)))
Call 3
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
Call 4
Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z #s(literal 3900231685776981/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) (neg.f64 z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 x (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 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 y)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 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 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 (/.f64 (sqrt.f64 #s(literal 1 binary64)) #s(literal 3900231685776981/2251799813685248 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (/.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 (/.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 y (/.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 (/.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 (/.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 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z #s(literal 3900231685776981/2251799813685248 binary64)))
Calls

40 calls:

14.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
12.0ms
x
11.0ms
z
10.0ms
(*.f64 x x)
9.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
3.5%1x
3.5%1(*.f64 x x)
3.5%1(*.f64 y y)
3.5%1(+.f64 (*.f64 x x) (*.f64 y y))
3.5%1y
3.5%1(*.f64 z z)
3.5%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
3.5%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
3.5%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
3.5%1z
5.6%1(*.f64 z z)
5.6%1(*.f64 y y)
5.6%1(*.f64 x x)
5.6%1(+.f64 (*.f64 x x) (*.f64 y y))
5.6%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
5.6%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
5.6%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
5.6%1x
5.6%1y
5.6%1z
98.3%1(*.f64 x x)
98.3%1x
98.3%1(*.f64 z z)
98.3%1(*.f64 y y)
98.3%1(+.f64 (*.f64 x x) (*.f64 y y))
98.3%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
98.3%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
98.3%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
98.3%1y
98.3%1z
98.3%1(*.f64 z z)
98.3%1(*.f64 y y)
98.3%1(*.f64 x x)
98.3%1(+.f64 (*.f64 x x) (*.f64 y y))
98.3%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
98.3%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
98.3%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
98.3%1x
98.3%1y
98.3%1z
Compiler

Compiled 787 to 317 computations (59.7% saved)

derivations46.0ms (2.0%)

Memory
-3.2MiB live, 41.9MiB allocated; 6ms collecting garbage
Stop Event
fuel
Compiler

Compiled 72 to 21 computations (70.8% saved)

preprocess138.0ms (6.0%)

Memory
11.6MiB live, 309.3MiB allocated; 44ms collecting garbage
Symmetry

(abs x)

Compiler

Compiled 1 851 to 1 342 computations (27.5% saved)

end0.0ms (0.0%)

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

Profiling

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