FRP.Yampa.Vector3:vector3Rho from Yampa-0.10.2

Time bar (total: 6.3s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
4.3MiB live, 4.3MiB 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)

sample797.0ms (12.7%)

Memory
45.8MiB live, 1 884.9MiB allocated; 258ms collecting garbage
Samples
566.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 311.0ms
ival-mult!: 196.0ms (63.1% of total)
ival-sqrt: 67.0ms (21.6% of total)
ival-add!: 46.0ms (14.8% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

preprocess60.0ms (1%)

Memory
-10.0MiB live, 82.8MiB allocated; 11ms 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
49.0%
(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 24 to 18 computations (25% saved)

series76.0ms (1.2%)

Memory
-10.3MiB live, 63.7MiB allocated; 68ms 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:

TimeVariablePoint
1.0ms
x
inf
1.0ms
x
0
1.0ms
y
-inf
1.0ms
y
inf
1.0ms
z
inf

rewrite56.0ms (0.9%)

Memory
3.0MiB live, 102.1MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
01542
17842
091137
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
9 → 201
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 (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 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 (pow.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) y) y))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x)))))
(neg.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y y) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
z

eval33.0ms (0.5%)

Memory
-9.7MiB live, 86.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 820 to 897 computations (84.6% saved)

prune9.0ms (0.1%)

Memory
29.1MiB live, 29.1MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2339242
Fresh000
Picked101
Done000
Total2349243
Accuracy
92.4%
Counts
243 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
49.0%
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
49.0%
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
84.4%
#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)))))))
5.7%
#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)))))))
5.8%
#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))
Compiler

Compiled 368 to 258 computations (29.9% saved)

series47.0ms (0.7%)

Memory
-19.1MiB live, 115.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04033601
Stop Event
iter-limit
Counts
30 → 111
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)
#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)))))))
(*.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))))))
(+.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)))))
(*.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))))
(/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 y #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 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x)))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (fma.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))) x))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.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 (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (/.f64 (fma.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))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (/.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) (*.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 (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (+.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) (*.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 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.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(literal 1 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 (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (+.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 y 2) (pow z 2)) (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 (* 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 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (pow y 2) (pow z 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.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 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 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)))) (+.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 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 (pow.f64 z #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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.f64 (pow.f64 z #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 x #s(literal 2 binary64)))))))
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 y 2) (pow z 2)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.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:

TimeVariablePoint
5.0ms
z
0
5.0ms
z
inf
5.0ms
x
0
4.0ms
x
inf
3.0ms
y
inf

rewrite133.0ms (2.1%)

Memory
22.7MiB live, 187.4MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036285
054281
1253281
02808250
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
30 → 570
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)
#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)))))))
(*.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))))))
(+.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)))))
(*.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))))
(/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (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 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) 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 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(*.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 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) z) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) z) (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 z z) (*.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 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (-.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 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)))))
(fma.f64 (*.f64 z (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64) z)
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) z)
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z)
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) z) z)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) z) z)
(fma.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)
(-.f64 z (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))
(-.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z))
(-.f64 z (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)))
(+.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)
(+.f64 z (*.f64 (*.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 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 z z (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x)))) (*.f64 z z))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64) (*.f64 (*.f64 z z) #s(literal 2 binary64))) (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))))) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
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eval176.0ms (2.8%)

Memory
1.4MiB live, 290.9MiB allocated; 125ms collecting garbage
Compiler

Compiled 26 761 to 3 785 computations (85.9% saved)

prune23.0ms (0.4%)

Memory
11.6MiB live, 58.9MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New71211723
Fresh044
Picked505
Done000
Total71715732
Accuracy
97.7%
Counts
732 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
44.5%
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
49.0%
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
49.0%
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
84.4%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
87.9%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64))))
96.4%
#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 z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))))))
96.2%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (*.f64 z z)) (*.f64 x (/.f64 x (*.f64 z z))))))))
5.7%
#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)))))))
5.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow y 2) (pow z 2)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
3.5%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 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))
6.1%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
Compiler

Compiled 754 to 492 computations (34.7% saved)

series101.0ms (1.6%)

Memory
-6.1MiB live, 188.7MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010349569
Stop Event
iter-limit
Counts
33 → 205
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 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))
(/.f64 y z)
y
(*.f64 x (/.f64 x (*.f64 z z)))
x
(/.f64 x (*.f64 z z))
(*.f64 z z)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
(neg.f64 x)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
(sqrt.f64 (fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))
(/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64))))
(*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) z)
(/.f64 (fma.f64 y y (*.f64 x x)) z)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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 (/ x (* z z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx x x)
#s(approx (/ x (* z z)) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x)))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (fma.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))) x))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.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 (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (/.f64 (fma.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))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt (+ (* x x) (* y y)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt (+ (* x x) (* y y)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt (+ (* x x) (* y y)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))))))))))
#s(approx (* (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt (+ (* x x) (* y y)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 8 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))))))))))))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #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)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #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 y #s(literal 2 binary64)))))
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#s(approx z z)
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#s(approx (* z z) (pow.f64 z #s(literal 2 binary64)))
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#s(approx (* (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt (+ (* x x) (* y y)))) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (*.f64 z (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (*.f64 z (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))))))))
#s(approx (+ (* z (/ z (+ (* x x) (* y y)))) 1) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* z (/ z (+ (* x x) (* y y)))) 1) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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)))))
#s(approx (* (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt (+ (* x x) (* y y)))) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt (+ (* x x) (* y y)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt (+ (* x x) (* y y)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (* (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (sqrt (+ (* x x) (* y y)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* z (/ z (+ (* x x) (* y y)))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))))))))
Calls

9 calls:

TimeVariablePoint
23.0ms
z
0
8.0ms
x
inf
6.0ms
x
0
6.0ms
y
0
5.0ms
y
inf

rewrite142.0ms (2.3%)

Memory
28.9MiB live, 212.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047387
071382
1366328
04609318
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
33 → 783
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 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))
(/.f64 y z)
y
(*.f64 x (/.f64 x (*.f64 z z)))
x
(/.f64 x (*.f64 z z))
(*.f64 z z)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
(neg.f64 x)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
(sqrt.f64 (fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))
(/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64))))
(*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) z)
(/.f64 (fma.f64 y y (*.f64 x x)) z)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)))))
(*.f64 (*.f64 z (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) (*.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))
(*.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 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 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) (*.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))
(*.f64 (+.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64))
(*.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 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) z) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) z) (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) z) (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
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(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))) z))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))) z))
(/.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (neg.f64 z))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z (fma.f64 y y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y y (*.f64 x x))))
(/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (neg.f64 z)))
(/.f64 (fma.f64 y y (*.f64 x x)) z)
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) z))
(neg.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 z)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) z) (*.f64 (/.f64 y z) y))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) (/.f64 (*.f64 x x) z))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) (/.f64 (*.f64 x x) z))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y z) y))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x x) z))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y (/.f64 (*.f64 x x) z))
(fma.f64 y (/.f64 y z) (/.f64 (*.f64 x x) z))
(fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y))
(-.f64 (/.f64 (*.f64 x x) z) (/.f64 (*.f64 (neg.f64 y) y) z))
(-.f64 (*.f64 (/.f64 y z) y) (neg.f64 (/.f64 (*.f64 x x) z)))
(-.f64 (*.f64 (/.f64 y z) y) (/.f64 (*.f64 (neg.f64 x) x) z))
(+.f64 (/.f64 (*.f64 x x) z) (*.f64 (/.f64 y z) y))
(+.f64 (*.f64 (/.f64 y z) y) (/.f64 (*.f64 x x) z))
(*.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (*.f64 y y))
(*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) y (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))))
(neg.f64 (neg.f64 (fma.f64 y y (*.f64 x x))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval3.5s (55.6%)

Memory
-357.3MiB live, 297.9MiB allocated; 3.8s collecting garbage
Compiler

Compiled 37 028 to 4 535 computations (87.8% saved)

prune21.0ms (0.3%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New8384842
Fresh4610
Picked325
Done000
Total84512857
Accuracy
98.1%
Counts
857 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
44.0%
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))) #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
49.0%
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
49.0%
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
87.9%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)))))
98.7%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y)) #s(literal 1 binary64))))
5.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
3.5%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 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))
6.1%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
Compiler

Compiled 545 to 362 computations (33.6% saved)

series72.0ms (1.2%)

Memory
-14.3MiB live, 78.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010189070
Stop Event
iter-limit
Counts
29 → 194
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y)) #s(literal 1 binary64))))
(*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y)) #s(literal 1 binary64)))
z
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y))
x
(/.f64 x z)
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
#s(literal 1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
(neg.f64 z)
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
(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(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)))))
(+.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))
(/.f64 z (fma.f64 y y (*.f64 x x)))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
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))))))))))
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#s(approx (+ (* x (/ x z)) (* (/ y z) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))
#s(approx (+ (* x (/ x z)) (* (/ y z) y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
#s(approx x x)
#s(approx (/ x z) (/.f64 x z))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
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#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))))
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#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
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#s(approx (sqrt (+ (* z (/ z (+ (* y y) (* x x)))) 1)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
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#s(approx (/ y z) (/.f64 y z))
#s(approx y y)
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
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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 y #s(literal 2 binary64)))))
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#s(approx (* z (+ (* (/ 1/2 z) (+ (* x (/ x z)) (* (/ y z) y))) 1)) (/.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)
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#s(approx (/ 1/2 z) (/.f64 #s(literal 1/2 binary64) z))
#s(approx (+ (* x (/ x z)) (* (/ y z) y)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))
#s(approx (neg z) (*.f64 #s(literal -1 binary64) z))
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Calls

9 calls:

TimeVariablePoint
13.0ms
z
-inf
3.0ms
z
inf
3.0ms
x
inf
3.0ms
y
inf
3.0ms
y
-inf

rewrite198.0ms (3.2%)

Memory
6.9MiB live, 240.8MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035265
057260
1295236
23546236
08405188
Stop Event
iter-limit
node-limit
iter-limit
Counts
29 → 1 076
Calls
Call 1
Inputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y)) #s(literal 1 binary64))))
(*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y)) #s(literal 1 binary64)))
z
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(fma.f64 x (/.f64 x z) (*.f64 (/.f64 y z) y))
x
(/.f64 x z)
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
#s(literal 1 binary64)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
(neg.f64 z)
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
(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(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)))))
(+.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))
(/.f64 z (fma.f64 y y (*.f64 x x)))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
(*.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z))) (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y y (*.f64 x x))) z)) z)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z) (*.f64 z z))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1 binary64)) z)
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 z (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z))) (-.f64 (*.f64 z z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z) (*.f64 z z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z))) #s(literal -1 binary64))
(/.f64 (*.f64 z (expm1.f64 (*.f64 (log.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1 binary64)))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal 2 binary64))) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal -3 binary64)) #s(literal 1 binary64)) z) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(/.f64 (fma.f64 z z (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))) z)
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z) z))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/4 binary64)) (*.f64 z z)) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z) z))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 z (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z))) (neg.f64 (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/4 binary64))) (-.f64 z (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/4 binary64) (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (fma.f64 z z (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/4 binary64) (*.f64 z (*.f64 (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y y (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z))) (-.f64 (*.f64 z z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z) (*.f64 z z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z))))
(neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y y (*.f64 x x))) z))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fabs.f64 y)) (fabs.f64 y) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (neg.f64 y)) (neg.f64 y) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) (*.f64 x x)) z #s(literal 1 binary64))) (*.f64 (/.f64 x z) x) z)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x x) z)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y) z)
(fma.f64 (*.f64 z (/.f64 (fma.f64 y y (*.f64 x x)) z)) (/.f64 #s(literal 1/2 binary64) z) z)
(fma.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) z)) (/.f64 (fma.f64 y y (*.f64 x x)) z) z)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y) z)
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z) z)
(fma.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x) z)
(fma.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y) z)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1/2 binary64) z)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) z)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z z)
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) z) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) z)
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64) z)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z) z)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)) z)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y y (*.f64 x x))) z)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) z) z)
(fma.f64 z (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z)
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/4 binary64)) (-.f64 z (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)))))
(-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z) (*.f64 #s(literal -1 binary64) z))
(-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z) (neg.f64 z))
(-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))
(-.f64 z (*.f64 (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y y (*.f64 x x))))
(+.f64 (+.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x))
(+.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z) (*.f64 z z))) (/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z) (*.f64 z z))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z))
(+.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z) z)
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)) z)
(+.f64 z (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y y (*.f64 x x)))))
(+.f64 z (*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) z))
(+.f64 z (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z)))
z
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) z)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 (fma.f64 y y (*.f64 x x)) z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)))
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(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (exp.f64 (log.f64 x)))
(hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) x)
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (exp.f64 (log.f64 x)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(hypot.f64 (fabs.f64 (fabs.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 y)) x)
(hypot.f64 (fabs.f64 (fabs.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 y))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (fabs.f64 (fabs.f64 x)) y)
(hypot.f64 (neg.f64 (fabs.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 y)) x)
(hypot.f64 (neg.f64 (neg.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 y)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (fabs.f64 x))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 y)) x)
(hypot.f64 (neg.f64 (fabs.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 x)) y)
(hypot.f64 (neg.f64 (neg.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 y))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (neg.f64 x)) y)
(hypot.f64 (fabs.f64 x) (exp.f64 (log.f64 y)))
(hypot.f64 (fabs.f64 x) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 x) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 x) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 y)))
(hypot.f64 (fabs.f64 x) (fabs.f64 y))
(hypot.f64 (fabs.f64 x) (neg.f64 y))
(hypot.f64 (fabs.f64 x) y)
(hypot.f64 (fabs.f64 y) (exp.f64 (log.f64 x)))
(hypot.f64 (fabs.f64 y) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 y) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 y) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 y) (fabs.f64 x))
(hypot.f64 (fabs.f64 y) (neg.f64 x))
(hypot.f64 (fabs.f64 y) x)
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 x) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 x) (fabs.f64 y))
(hypot.f64 (neg.f64 x) (neg.f64 y))
(hypot.f64 (neg.f64 x) y)
(hypot.f64 (neg.f64 y) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 y) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 y) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 y) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 y) (fabs.f64 x))
(hypot.f64 (neg.f64 y) (neg.f64 x))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 y (exp.f64 (log.f64 x)))
(hypot.f64 y (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 y (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 y (fabs.f64 (fabs.f64 x)))
(hypot.f64 y (neg.f64 (fabs.f64 x)))
(hypot.f64 y (neg.f64 (neg.f64 x)))
(hypot.f64 y (fabs.f64 x))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(hypot.f64 x (exp.f64 (log.f64 y)))
(hypot.f64 x (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 x (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 x (fabs.f64 (fabs.f64 y)))
(hypot.f64 x (neg.f64 (fabs.f64 y)))
(hypot.f64 x (neg.f64 (neg.f64 y)))
(hypot.f64 x (fabs.f64 y))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x y)
(exp.f64 (*.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64))))

eval251.0ms (4%)

Memory
20.0MiB live, 245.9MiB allocated; 48ms collecting garbage
Compiler

Compiled 47 891 to 5 370 computations (88.8% saved)

prune27.0ms (0.4%)

Memory
13.1MiB live, 58.9MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1 31161 317
Fresh235
Picked325
Done022
Total1 316131 329
Accuracy
99.6%
Counts
1 329 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(hypot.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) z)
45.0%
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (hypot.f64 y x))
85.1%
(*.f64 (fabs.f64 z) (sqrt.f64 (+.f64 (/.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (*.f64 z z)) #s(literal 1 binary64))))
5.7%
(*.f64 #s(approx (sqrt (+ (* z (/ z (+ (* y y) (* x x)))) 1)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
49.0%
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
49.0%
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
87.9%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
98.8%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z)))
3.5%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 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))
6.1%
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
Compiler

Compiled 263 to 182 computations (30.8% saved)

regimes322.0ms (5.1%)

Memory
0.8MiB live, 346.5MiB allocated; 116ms collecting garbage
Accuracy

Total -0.6b remaining (-0.4%)

Threshold costs -0.6b (-0.4%)

Counts
5 → 1
6 → 1
10 → 1
17 → 1
31 → 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))
Call 2
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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
Call 3
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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
(*.f64 #s(approx (sqrt (+ (* z (/ z (+ (* y y) (* x x)))) 1)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(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)))
Outputs
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
Call 4
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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
(*.f64 #s(approx (sqrt (+ (* z (/ z (+ (* y y) (* x x)))) 1)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(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)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)))))
(*.f64 (fabs.f64 z) (sqrt.f64 (+.f64 (/.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (*.f64 z z)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64))))
Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
Call 5
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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
(*.f64 #s(approx (sqrt (+ (* z (/ z (+ (* y y) (* x x)))) 1)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(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)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 y y (*.f64 x x)))))
(*.f64 (fabs.f64 z) (sqrt.f64 (+.f64 (/.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (*.f64 z z)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z)))
(hypot.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) z)
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 x (/.f64 x z) (*.f64 (/.f64 y 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) (fma.f64 y (/.f64 y (*.f64 z z)) (*.f64 x (/.f64 x (*.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 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))))))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (hypot.f64 y x))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow y 2) (pow z 2)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))) #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x z)))
Calls

45 calls:

38.0ms
x
38.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
36.0ms
(*.f64 z z)
33.0ms
y
15.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
1.7%1z
1.7%1(*.f64 z z)
1.7%1(*.f64 y y)
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%1y
1.7%1x
1.7%1(*.f64 x x)
3.5%1(*.f64 x x)
3.5%1x
3.5%1(*.f64 z z)
3.5%1(*.f64 y y)
3.5%1(+.f64 (*.f64 x x) (*.f64 y y))
3.5%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
3.5%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
3.5%1y
3.5%1z
49.0%1x
49.0%1z
49.0%1(*.f64 x x)
49.0%1y
49.0%1(*.f64 z z)
49.0%1(*.f64 y y)
49.0%1(+.f64 (*.f64 x x) (*.f64 y y))
49.0%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
49.0%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
87.9%1(*.f64 z z)
87.9%1(*.f64 y y)
87.9%1(*.f64 x x)
87.9%1(+.f64 (*.f64 x x) (*.f64 y y))
87.9%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
87.9%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
87.9%1x
87.9%1y
87.9%1z
98.8%1(*.f64 z z)
98.8%1(*.f64 y y)
98.8%1(*.f64 x x)
98.8%1(+.f64 (*.f64 x x) (*.f64 y y))
98.8%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
98.8%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
98.8%1x
98.8%1y
98.8%1z
Compiler

Compiled 964 to 379 computations (60.7% saved)

derivations147.0ms (2.3%)

Memory
-21.0MiB live, 161.7MiB allocated; 29ms collecting garbage
Stop Event
fuel
Compiler

Compiled 114 to 40 computations (64.9% saved)

preprocess96.0ms (1.5%)

Memory
19.5MiB live, 208.0MiB allocated; 28ms collecting garbage
Remove

(abs z)

(abs y)

(abs x)

Compiler

Compiled 1 324 to 855 computations (35.4% saved)

end0.0ms (0%)

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

Profiling

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