FRP.Yampa.Vector3:vector3Rho from Yampa-0.10.2

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
100%99.9%0%0.1%0%0%0%4
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample756.0ms (19.6%)

Memory
18.0MiB live, 1 127.6MiB allocated; 264ms collecting garbage
Samples
526.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 317.0ms
ival-mult!: 214.0ms (67.6% of total)
ival-sqrt: 70.0ms (22.1% of total)
ival-add!: 32.0ms (10.1% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

preprocess61.0ms (1.6%)

Memory
-33.0MiB live, 20.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035123
1126123
2371123
3503123
4941123
54348123
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.7%
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 18 to 18 computations (0% saved)

series22.0ms (0.6%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291636
Stop Event
iter-limit
Counts
9 → 48
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx y y)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64)))
#s(approx z z)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))))
Calls

9 calls:

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

rewrite212.0ms (5.5%)

Memory
3.4MiB live, 140.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
01542
17842
231842
3102142
4206642
5765242
0801037
Stop Event
iter-limit
node-limit
iter-limit
Counts
9 → 418
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(fabs.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.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 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 z z (*.f64 y y)))) (fma.f64 z z (*.f64 y y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (*.f64 y y))) (*.f64 y y))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 0 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (fma.f64 z z (*.f64 x x)))) (fma.f64 z z (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))) (fma.f64 z z (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y))) (*.f64 y y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 z z (*.f64 x x)))) (fma.f64 z z (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) (*.f64 x x))) (*.f64 x x))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) (*.f64 z z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x)))
(*.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))))
(*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 0 binary64)))
(*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 0 binary64)))
(*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (neg.f64 (fma.f64 y y (*.f64 x x))))) (+.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (neg.f64 x) x)))
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(*.f64 (pow.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 y y) #s(literal 0 binary64)) (*.f64 y y))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 y) y) (neg.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 y) y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.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))))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 y))) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 y) y) (neg.f64 y))))
(*.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 y) y) y)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) y) y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 y y) y)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) y)
(*.f64 (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 y y) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (fabs.f64 y) #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 y #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (*.f64 y y) #s(literal 0 binary64)))
(*.f64 y y)
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 y y) #s(literal 0 binary64)) (pow.f64 (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 y) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (fabs.f64 y) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 y y) (pow.f64 (*.f64 y y) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) z)) (sqrt.f64 (*.f64 (fabs.f64 z) z)))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) (neg.f64 z))) (sqrt.f64 (*.f64 (fabs.f64 z) (neg.f64 z))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) z) (neg.f64 z))) (sqrt.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) z)) (sqrt.f64 (*.f64 (neg.f64 z) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) z) z)) (sqrt.f64 (fabs.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) z)) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) z)) (sqrt.f64 z))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 z) z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 z) z) z) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) z) z) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 z z))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 z)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 z) z) (neg.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 z) z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 z))) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) z) (neg.f64 z))))
(*.f64 (sqrt.f64 (fabs.f64 z)) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) z) z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 z z) z)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (fabs.f64 z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) z)
(*.f64 (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 (*.f64 z z) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 0 binary64)))
(*.f64 (*.f64 z z) (pow.f64 (fabs.f64 z) #s(literal 0 binary64)))
(*.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 0 binary64)))
(*.f64 (*.f64 z z) (pow.f64 z #s(literal 0 binary64)))
(*.f64 (*.f64 z z) (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 0 binary64)))
(*.f64 (*.f64 z z) (pow.f64 (*.f64 z z) #s(literal 0 binary64)))
(*.f64 z z)
(pow.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 z z) #s(literal 0 binary64)) (pow.f64 (*.f64 z z) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z z) #s(literal -1 binary64)))
(/.f64 (fabs.f64 z) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64)))
(/.f64 (*.f64 z z) (pow.f64 (*.f64 z z) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))
(fabs.f64 (*.f64 (fabs.f64 z) z))
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
z

eval92.0ms (2.4%)

Memory
-15.7MiB live, 79.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 4 517 to 1 930 computations (57.3% saved)

prune12.0ms (0.3%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New44910459
Fresh000
Picked101
Done000
Total45010460
Accuracy
92.0%
Counts
460 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.7%
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
42.7%
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
42.6%
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
82.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
4.9%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
5.5%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
0.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
1.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
1.7%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
5.3%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 294 to 294 computations (0% saved)

series35.0ms (0.9%)

Memory
-6.4MiB live, 40.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03232642
Stop Event
iter-limit
Counts
27 → 81
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
y
(pow.f64 z #s(literal 2 binary64))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
(+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 z z)
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (pow x 2) (pow y 2)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#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 (+ (pow x 2) (pow z 2)) (pow.f64 z #s(literal 2 binary64)))
#s(approx (+ (pow x 2) (pow z 2)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (+ (* x x) (* y y)) (* z 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 (+ (pow x 2) (pow z 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx y y)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ (+ (* x x) (* y y)) (* z 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 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z)))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z))
#s(approx z z)
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* -1 z) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (pow x 2) (pow z 2)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@0
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))
3.0ms
y
@0
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))
2.0ms
z
@inf
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))
2.0ms
x
@inf
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))
2.0ms
x
@0
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2)))

rewrite238.0ms (6.2%)

Memory
-9.0MiB live, 279.7MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033238
048234
1213234
2891226
36039226
08050199
Stop Event
iter-limit
node-limit
iter-limit
Counts
27 → 1 717
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
y
(pow.f64 z #s(literal 2 binary64))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
(+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 z z)
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z) z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)))) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z) z) #s(literal 1 binary64))
(*.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z) z))
(*.f64 z (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 z (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 z z))) (*.f64 z z))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 z z)) z) (*.f64 z z))
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 x x (*.f64 y y)))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z))) (*.f64 z z)) (-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)))) (+.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) z))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)))) (-.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z))))
(/.f64 (+.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z))) (*.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z))))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal -1 binary64)) z))
(neg.f64 (*.f64 z (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(neg.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) z))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 x x (*.f64 y y)) z)
(fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z z)
(fma.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (fabs.f64 z))) (/.f64 (fma.f64 x x (*.f64 y y)) (fabs.f64 z)) z)
(fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) z)) (/.f64 (fma.f64 x x (*.f64 y y)) (neg.f64 z)) z)
(fma.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) z)) (/.f64 (fma.f64 x x (*.f64 y y)) z) z)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (fma.f64 x x (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 z z)) z)
(fma.f64 (*.f64 z (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) z)
(fma.f64 (/.f64 z (neg.f64 (fabs.f64 z))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) (neg.f64 (fabs.f64 z))) z)
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) z)
(fma.f64 (/.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z)
(fma.f64 (/.f64 z (fabs.f64 z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 z))) z)
(fma.f64 (/.f64 z (neg.f64 z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) z)
(fma.f64 (/.f64 z (*.f64 (neg.f64 z) z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) z)
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) (/.f64 z (*.f64 (neg.f64 z) z)) z)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)
(fma.f64 (/.f64 z (*.f64 z z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)) z)
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 z (*.f64 z z)) z)
(fma.f64 (/.f64 z z) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) z)
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(fma.f64 (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (neg.f64 z)) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) z) (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) z) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x (neg.f64 z)) (fabs.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (fabs.f64 z)) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x (neg.f64 z)) z) (*.f64 (/.f64 x (neg.f64 z)) z) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x (fabs.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 x (fabs.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x (fabs.f64 z)) (fabs.f64 z)) (*.f64 (/.f64 x (fabs.f64 z)) (fabs.f64 z)) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x (fabs.f64 z)) (neg.f64 z)) (*.f64 (/.f64 x (fabs.f64 z)) (neg.f64 z)) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x (fabs.f64 z)) z) (*.f64 (/.f64 x (fabs.f64 z)) z) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x z) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 x z) (neg.f64 (fabs.f64 z))) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x z) (fabs.f64 z)) (*.f64 (/.f64 x z) (fabs.f64 z)) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x z) (neg.f64 z)) (*.f64 (/.f64 x z) (neg.f64 z)) (*.f64 z z))
(fma.f64 (*.f64 (/.f64 x z) z) (*.f64 (/.f64 x z) z) (*.f64 z z))
(fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (fabs.f64 z)) (fabs.f64 z) (*.f64 z z))
(fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (neg.f64 z)) (neg.f64 z) (*.f64 z z))
(fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) x) z) z (*.f64 z z))
(fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (*.f64 (neg.f64 z) z)) #s(literal -1 binary64) (*.f64 z z))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (*.f64 z z))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z) (*.f64 x x))
(fma.f64 (fabs.f64 (/.f64 x z)) (*.f64 (fabs.f64 (/.f64 x z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 (/.f64 (fabs.f64 x) z) (*.f64 (/.f64 (fabs.f64 x) z) (*.f64 z z)) (*.f64 z z))
(fma.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 (/.f64 x z) (*.f64 (/.f64 x z) (*.f64 z z)) (*.f64 z z))
(fma.f64 (/.f64 x (neg.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 (/.f64 x (fabs.f64 z)) (*.f64 (/.f64 x (fabs.f64 z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64) (*.f64 z z))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 z z))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 z z))
(fma.f64 x (*.f64 (/.f64 x (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 x x (*.f64 z z))
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 x x))
(fma.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (*.f64 z z) (*.f64 z z))
(fma.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 (fabs.f64 x) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 z z))
(fma.f64 (fabs.f64 z) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (fabs.f64 z) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 x x))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 x x))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 x (*.f64 (neg.f64 z) z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 z z))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 z z))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) (*.f64 z z))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) (*.f64 x x))
(fma.f64 (*.f64 z z) (*.f64 (/.f64 x (*.f64 z z)) x) (*.f64 z z))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 z z))
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 z z))
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 z z (*.f64 x x))
(-.f64 (*.f64 z z) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 z) z))
(+.f64 (*.f64 z z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(+.f64 (*.f64 z z) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 z z))

eval293.0ms (7.6%)

Memory
31.5MiB live, 442.2MiB allocated; 107ms collecting garbage
Compiler

Compiled 25 625 to 10 569 computations (58.8% saved)

prune74.0ms (1.9%)

Memory
-20.3MiB live, 173.5MiB allocated; 9ms collecting garbage
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New2 164172 181
Fresh145
Picked505
Done000
Total2 170212 191
Accuracy
95.6%
Counts
2 191 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.3%
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
42.2%
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))))
42.7%
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
42.7%
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
42.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))))
42.7%
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z)))
42.6%
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))))
39.8%
(exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64)))
39.7%
(exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64)))
98.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (*.f64 z z)) y (*.f64 (/.f64 x (*.f64 z z)) x))))))
98.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))))))
98.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 z z)) y) z (*.f64 x (/.f64 x z))) z)))))
82.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
99.3%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
4.9%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
5.5%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
1.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
0.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
1.7%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
4.3%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
2.6%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
Compiler

Compiled 740 to 700 computations (5.4% saved)

series107.0ms (2.8%)

Memory
6.7MiB live, 158.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03412678
Stop Event
iter-limit
Counts
30 → 85
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
(*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))
z
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z)))
(+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z))
#s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
#s(literal 2 binary64)
(*.f64 z z)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))
(/.f64 x z)
(*.f64 (/.f64 y (*.f64 z z)) y)
(/.f64 y (*.f64 z z))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ x z) (/.f64 x z))
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#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
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#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
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#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx y y)
#s(approx (* (log y) 2) (*.f64 #s(literal 2 binary64) (log.f64 y)))
#s(approx (log y) (log.f64 y))
#s(approx (/ y (* z z)) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
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#s(approx (* (log y) 2) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (log y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
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#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z)))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z))
#s(approx z z)
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64)))
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))
Calls

9 calls:

TimeVariablePointExpression
31.0ms
y
@0
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z)))
14.0ms
y
@-inf
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z)))
10.0ms
z
@0
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z)))
9.0ms
y
@inf
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z)))
3.0ms
x
@inf
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z)))

rewrite239.0ms (6.2%)

Memory
25.2MiB live, 339.3MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043297
063257
1328257
21382247
08229241
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 1 423
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
(*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))
z
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z)))
(+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z))
#s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
#s(literal 2 binary64)
(*.f64 z z)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))
(/.f64 x z)
(*.f64 (/.f64 y (*.f64 z z)) y)
(/.f64 y (*.f64 z z))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) z))
(*.f64 (*.f64 #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) #s(literal 1 binary64)) z)
(*.f64 (*.f64 #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) z)
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) z))
(*.f64 z (*.f64 #s(literal 1 binary64) #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
(*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))
z
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
(neg.f64 x)
x
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))))
(fabs.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (fma.f64 z z (*.f64 x x)))) (fma.f64 z z (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y))) (*.f64 y y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (*.f64 z z))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 z z (*.f64 x x)))) (fma.f64 z z (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 z z (*.f64 y y)))) (fma.f64 z z (*.f64 y y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (*.f64 y y))) (*.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))) (fma.f64 z z (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 x x (*.f64 y y)))) (fma.f64 x x (*.f64 y y)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))) (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) (fma.f64 x x (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))) (*.f64 z z))
(*.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(pow.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) y)) (+.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z)))) (-.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))) (+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) (neg.f64 (fma.f64 z z (*.f64 y y))))) (+.f64 (*.f64 x x) (neg.f64 (fma.f64 z z (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (neg.f64 (fma.f64 z z (*.f64 x x))))) (+.f64 (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (*.f64 z z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x)) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (neg.f64 y) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y)) (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) (neg.f64 (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 x x) (neg.f64 (fma.f64 z z (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (neg.f64 (fma.f64 z z (*.f64 x x))) (*.f64 (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (neg.f64 (fma.f64 x x (*.f64 y y))))) (+.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (fma.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (neg.f64 (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) (+.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (neg.f64 z) z)))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 (*.f64 z z) z) z)) (+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (neg.f64 z) z)))
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(pow.f64 (/.f64 (neg.f64 y) (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (neg.f64 y) z) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 y) (fabs.f64 z)) (neg.f64 y)) (fabs.f64 z))
(/.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) z)
(/.f64 (*.f64 (/.f64 y z) (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 y (fabs.f64 z)) y) (fabs.f64 z))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) (neg.f64 z))
(/.f64 (fma.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (*.f64 z z) (*.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1/2 binary64))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z)))) (*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))) (-.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z)))) (*.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z)))))))
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(/.f64 (/.f64 (*.f64 y y) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)))
(/.f64 (fma.f64 (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 z z) z) z))
(/.f64 (neg.f64 (*.f64 y (/.f64 y (fabs.f64 z)))) (neg.f64 (fabs.f64 z)))
(/.f64 (*.f64 y (/.f64 y (fabs.f64 z))) (fabs.f64 z))
(/.f64 (*.f64 y (/.f64 (neg.f64 y) z)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 y z) y) z)
(/.f64 (*.f64 (*.f64 (*.f64 z z) y) y) (*.f64 (*.f64 (*.f64 z z) z) z))
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (/.f64 y (*.f64 z z)) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 z) (*.f64 y (/.f64 y (fabs.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 y (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 y z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 y y)))
(/.f64 (*.f64 y y) (*.f64 z z))
(neg.f64 (*.f64 (/.f64 y (*.f64 (neg.f64 z) z)) y))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 z))) (/.f64 (*.f64 (sinh.f64 (log.f64 y)) (cosh.f64 (log.f64 y))) (neg.f64 (fabs.f64 z))) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 z)) (/.f64 (*.f64 (sinh.f64 (log.f64 y)) (cosh.f64 (log.f64 y))) (fabs.f64 z)) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 z)) (/.f64 (*.f64 (sinh.f64 (log.f64 y)) (cosh.f64 (log.f64 y))) (neg.f64 z)) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 (sinh.f64 (log.f64 y)) (cosh.f64 (log.f64 y))) z) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))
(fma.f64 (cosh.f64 (log.f64 y)) (/.f64 y (*.f64 z z)) (*.f64 (sinh.f64 (log.f64 y)) (/.f64 y (*.f64 z z))))
(fma.f64 (*.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))
(fma.f64 (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))
(fma.f64 (/.f64 y (*.f64 z z)) (cosh.f64 (log.f64 y)) (*.f64 (/.f64 y (*.f64 z z)) (sinh.f64 (log.f64 y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 (log.f64 y)) (cosh.f64 (log.f64 y))) (*.f64 z z)) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))
(-.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (neg.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z)))))
(-.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -2 binary64)) (*.f64 z z)))
(fabs.f64 (*.f64 (/.f64 y (*.f64 (neg.f64 z) z)) y))
(fabs.f64 (*.f64 (/.f64 y (*.f64 z z)) y))
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (cosh.f64 (log.f64 y))) (*.f64 (/.f64 y (*.f64 z z)) (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (/.f64 y (*.f64 z z))) (*.f64 (sinh.f64 (log.f64 y)) (/.f64 y (*.f64 z z))))
(+.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))
(+.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 z z))))
(*.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 y) (fabs.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))))
(*.f64 (/.f64 y (fabs.f64 z)) (/.f64 #s(literal 1 binary64) (fabs.f64 z)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z)))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) y) (fabs.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) y) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) z)
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z z))
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 z z))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 (neg.f64 y) (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(/.f64 (/.f64 y (fabs.f64 z)) (fabs.f64 z))
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 z))
(/.f64 (/.f64 y z) z)
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 y (*.f64 z z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 z) (/.f64 y (fabs.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 (neg.f64 y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) y))
(/.f64 y (*.f64 z z))
(neg.f64 (/.f64 y (*.f64 (neg.f64 z) z)))
(fma.f64 (cosh.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (sinh.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (cosh.f64 (log.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (sinh.f64 (log.f64 y))))
(fabs.f64 (/.f64 y (*.f64 (neg.f64 z) z)))
(fabs.f64 (/.f64 y (*.f64 z z)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (cosh.f64 (log.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (sinh.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(+.f64 (/.f64 (cosh.f64 (log.f64 y)) (*.f64 z z)) (/.f64 (sinh.f64 (log.f64 y)) (*.f64 z z)))

eval247.0ms (6.4%)

Memory
-22.4MiB live, 460.3MiB allocated; 169ms collecting garbage
Compiler

Compiled 19 620 to 7 351 computations (62.5% saved)

prune55.0ms (1.4%)

Memory
-0.7MiB live, 144.0MiB allocated; 18ms collecting garbage
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New1 51661 522
Fresh11516
Picked055
Done000
Total1 517261 543
Accuracy
95.6%
Counts
1 543 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.3%
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
42.2%
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))))
42.7%
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
42.7%
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
42.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))))
42.7%
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))) (*.f64 z z)))
42.7%
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z)))
42.6%
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))))
39.8%
(exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64)))
39.7%
(exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64)))
73.4%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) (*.f64 (/.f64 x z) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) (*.f64 y z) z)))
98.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 x z) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) y #s(literal 1 binary64)))))
98.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (*.f64 z z)) y (*.f64 (/.f64 x (*.f64 z z)) x))))))
99.6%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))))))
98.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))))))
95.5%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))))))
98.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (*.f64 (/.f64 y (*.f64 z z)) y))))))
82.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
99.3%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
4.9%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
5.5%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
1.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
0.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
1.7%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
4.3%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
2.6%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
Compiler

Compiled 870 to 827 computations (4.9% saved)

series74.0ms (1.9%)

Memory
8.4MiB live, 197.8MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05194581
Stop Event
iter-limit
Counts
40 → 128
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))
(/.f64 x z)
x
(/.f64 (*.f64 (/.f64 y z) y) z)
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
(neg.f64 z)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))
(/.f64 (pow.f64 y #s(literal 2 binary64)) z)
(pow.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))
(fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(literal -1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))
(*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)
(/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))
(*.f64 (*.f64 (*.f64 z z) z) z)
(*.f64 (*.f64 z z) z)
(*.f64 z z)
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ x z) (/.f64 x z))
#s(approx x x)
#s(approx (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (+.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 (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #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 (pow (+ (* z z) (+ (* x x) (* y y))) -1) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #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 (pow (+ (* z z) (+ (* x x) (* y y))) -1) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #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 (+ (* 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 (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))))
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))))
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (+.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 (pow.f64 z #s(literal 4 binary64))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (*.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 (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.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))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.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)))))) (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 (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
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#s(approx (* (/ y z) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))
#s(approx (/ y z) (/.f64 y z))
#s(approx y y)
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#s(approx z z)
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (*.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 (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.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))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (/.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)))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
z
@inf
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z))
8.0ms
y
@0
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z))
6.0ms
y
@inf
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z))
6.0ms
z
@-inf
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z))
5.0ms
y
@-inf
((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z))

rewrite419.0ms (10.9%)

Memory
5.6MiB live, 769.2MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054473
082416
1396385
21994361
08110334
Stop Event
iter-limit
node-limit
iter-limit
Counts
40 → 3 596
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))
(/.f64 x z)
x
(/.f64 (*.f64 (/.f64 y z) y) z)
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
(neg.f64 z)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))
(/.f64 (pow.f64 y #s(literal 2 binary64)) z)
(pow.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))
(fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(literal -1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))
(*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)
(/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))
(*.f64 (*.f64 (*.f64 z z) z) z)
(*.f64 (*.f64 z z) z)
(*.f64 z z)
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (-.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) z)) z)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z) z)) z)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) z)) z)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) z)
(*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)
(*.f64 z (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 z z) z (*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))))) (*.f64 z z))
(/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) z)) (*.f64 z z))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (*.f64 z z)) (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))) (+.f64 z (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))))
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(/.f64 (pow.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)))
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))
(fabs.f64 (*.f64 (fabs.f64 z) z))
(fabs.f64 (*.f64 (neg.f64 z) (fabs.f64 z)))
(fabs.f64 (*.f64 z (fabs.f64 z)))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(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 (*.f64 (*.f64 (*.f64 z z) z) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (neg.f64 z))))
(*.f64 (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 z)) (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 z)))
(*.f64 (*.f64 (neg.f64 (fabs.f64 z)) z) (*.f64 (neg.f64 (fabs.f64 z)) z))
(*.f64 (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (fabs.f64 z))))
(*.f64 (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))))
(*.f64 (*.f64 z (neg.f64 (fabs.f64 z))) (*.f64 z (neg.f64 (fabs.f64 z))))
(*.f64 (pow.f64 (*.f64 z z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 z z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 z (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (fabs.f64 z) (neg.f64 (neg.f64 z))) (*.f64 (fabs.f64 z) (neg.f64 (neg.f64 z))))
(*.f64 (*.f64 (neg.f64 (neg.f64 z)) (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 z)) (fabs.f64 z)))
(*.f64 (*.f64 z (neg.f64 (neg.f64 z))) (*.f64 z (neg.f64 (neg.f64 z))))
(*.f64 (neg.f64 (*.f64 (fabs.f64 z) (neg.f64 z))) (neg.f64 (*.f64 (fabs.f64 z) (neg.f64 z))))
(*.f64 (neg.f64 (*.f64 (fabs.f64 z) z)) (neg.f64 (*.f64 (fabs.f64 z) z)))
(*.f64 (neg.f64 (*.f64 (neg.f64 z) (fabs.f64 z))) (neg.f64 (*.f64 (neg.f64 z) (fabs.f64 z))))
(*.f64 (neg.f64 (*.f64 z (fabs.f64 z))) (neg.f64 (*.f64 z (fabs.f64 z))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) z) z))
(*.f64 (*.f64 (fabs.f64 z) (*.f64 z z)) (fabs.f64 z))
(*.f64 (*.f64 (neg.f64 (neg.f64 z)) z) (*.f64 (neg.f64 (neg.f64 z)) z))
(*.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) (*.f64 (fabs.f64 z) (neg.f64 z)))
(*.f64 (*.f64 (fabs.f64 z) z) (*.f64 (fabs.f64 z) z))
(*.f64 (*.f64 (neg.f64 z) (fabs.f64 z)) (*.f64 (neg.f64 z) (fabs.f64 z)))
(*.f64 (*.f64 z (fabs.f64 z)) (*.f64 z (fabs.f64 z)))
(*.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z))
(*.f64 (fabs.f64 z) (*.f64 (fabs.f64 z) (*.f64 z z)))
(*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (pow.f64 #s(literal 1 binary64) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 z z) z) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 z z) z) z)
(*.f64 (*.f64 z z) (*.f64 z z))
(*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (neg.f64 z)))
(*.f64 z (*.f64 (*.f64 z z) z))
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 z) (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 z) z) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 1 binary64))
(pow.f64 (*.f64 z z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 4 binary64))
(pow.f64 z #s(literal 4 binary64))
(/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z z) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 z z)))
(fabs.f64 (*.f64 (*.f64 z z) (*.f64 (neg.f64 z) z)))
(fabs.f64 (*.f64 (*.f64 (*.f64 z z) z) z))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 4 binary64)))
(*.f64 (*.f64 z (fabs.f64 z)) (fabs.f64 z))
(*.f64 (pow.f64 z (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z))
(*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z))
(*.f64 (fabs.f64 z) (*.f64 (fabs.f64 z) z))
(*.f64 (*.f64 (*.f64 z z) z) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 z z) z) #s(literal 1 binary64))
(*.f64 (*.f64 z z) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 z z) z)
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))
(*.f64 z (*.f64 z z))
(pow.f64 z #s(literal 3 binary64))
(neg.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))))
(*.f64 (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) (neg.f64 z))) (sqrt.f64 (*.f64 (fabs.f64 z) (neg.f64 z))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) z)) (sqrt.f64 (*.f64 (fabs.f64 z) z)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (fabs.f64 z))) (sqrt.f64 (*.f64 (neg.f64 z) (fabs.f64 z))))
(*.f64 (sqrt.f64 (*.f64 z (fabs.f64 z))) (sqrt.f64 (*.f64 z (fabs.f64 z))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) (*.f64 z z))) (sqrt.f64 (fabs.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (fabs.f64 z)) (sqrt.f64 (*.f64 (fabs.f64 z) (*.f64 z z))))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (*.f64 z z) (neg.f64 z))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) z)) (sqrt.f64 (*.f64 (neg.f64 z) z)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (fabs.f64 z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (fabs.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (fabs.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) (*.f64 z z)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z z) (neg.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) z)
(*.f64 (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 z z) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) z)) (sqrt.f64 z))
(*.f64 (*.f64 z z) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 z)))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)))
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))
(fabs.f64 (*.f64 (fabs.f64 z) z))
(fabs.f64 (*.f64 (neg.f64 z) (fabs.f64 z)))
(fabs.f64 (*.f64 z (fabs.f64 z)))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(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 (*.f64 (*.f64 (*.f64 z z) z) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))

eval350.0ms (9.1%)

Memory
69.4MiB live, 927.4MiB allocated; 192ms collecting garbage
Compiler

Compiled 28 975 to 11 759 computations (59.4% saved)

prune80.0ms (2.1%)

Memory
21.2MiB live, 166.1MiB allocated; 45ms collecting garbage
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New2 02762 033
Fresh41216
Picked325
Done145
Total2 035242 059
Accuracy
95.6%
Counts
2 059 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.5%
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
42.2%
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))))
42.7%
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
42.7%
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
42.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
42.7%
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))) (*.f64 z z)))
42.7%
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z)))
42.6%
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))))
39.8%
(exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64)))
39.7%
(exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64)))
73.4%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) (*.f64 (/.f64 x z) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) (*.f64 y z) z)))
95.5%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))))))
98.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (*.f64 (/.f64 y (*.f64 z z)) y))))))
99.6%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 x z) (neg.f64 x)) (*.f64 (/.f64 y z) y)) (neg.f64 z))))))
99.3%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
4.9%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
5.5%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
1.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
0.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
1.7%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
4.0%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 y z) (*.f64 y #s(literal 1/2 binary64)))))
2.6%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
4.3%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z))))
1.9%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))))
Compiler

Compiled 845 to 649 computations (23.2% saved)

regimes143.0ms (3.7%)

Memory
-10.4MiB live, 226.8MiB allocated; 113ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 y z) (*.f64 y #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))))
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z)))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 x z) (neg.f64 x)) (*.f64 (/.f64 y z) y)) (neg.f64 z))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (*.f64 z z)) y (*.f64 (/.f64 x (*.f64 z z)) x))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 x z) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) y #s(literal 1 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 z z)) y) z (*.f64 x (/.f64 x z))) z)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (*.f64 (/.f64 y (*.f64 z z)) y))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) (*.f64 (/.f64 x z) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) (*.f64 y z) z)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))))))
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))) (*.f64 z z)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 x z) (neg.f64 x)) (*.f64 (/.f64 y z) y)) (neg.f64 z))))))
Calls

9 calls:

49.0ms
y
15.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
14.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
13.0ms
(*.f64 y y)
10.0ms
z
Results
AccuracySegmentsBranch
99.6%1(*.f64 z z)
99.6%1(*.f64 y y)
99.6%1(*.f64 x x)
99.6%1(+.f64 (*.f64 x x) (*.f64 y y))
99.6%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
99.6%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
99.6%1x
99.6%1y
99.6%1z
Compiler

Compiled 31 to 44 computations (-41.9% saved)

regimes74.0ms (1.9%)

Memory
-23.5MiB live, 160.9MiB allocated; 30ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 y z) (*.f64 y #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))))
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))))
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z)))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))))
Calls

9 calls:

19.0ms
z
9.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
8.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
6.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
99.3%1(*.f64 z z)
99.3%1(*.f64 y y)
99.3%1(*.f64 x x)
99.3%1(+.f64 (*.f64 x x) (*.f64 y y))
99.3%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
99.3%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
99.3%1x
99.3%1y
99.3%1z
Compiler

Compiled 31 to 44 computations (-41.9% saved)

regimes28.0ms (0.7%)

Memory
-0.3MiB live, 47.1MiB allocated; 13ms collecting garbage
Accuracy

Total -0.6b remaining (-1%)

Threshold costs -0.6b (-1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
Calls

9 calls:

2.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
1.7%1(*.f64 z z)
1.7%1(*.f64 y y)
1.7%1(*.f64 x x)
1.7%1(+.f64 (*.f64 x x) (*.f64 y y))
1.7%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
1.7%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
1.7%1x
1.7%1y
1.7%1z
Compiler

Compiled 31 to 44 computations (-41.9% saved)

derivations153.0ms (4%)

Memory
51.1MiB live, 183.3MiB allocated; 21ms collecting garbage
Stop Event
fuel
Compiler

Compiled 44 to 37 computations (15.9% saved)

preprocess91.0ms (2.4%)

Memory
-10.4MiB live, 122.9MiB allocated; 39ms collecting garbage
Remove

(abs z)

(abs y)

(abs x)

Compiler

Compiled 531 to 524 computations (1.3% saved)

end0.0ms (0%)

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

Profiling

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