bug366 (missed optimization)

Time bar (total: 1.7min)

start0.0ms (0.0%)

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

analyze1.0ms (0.0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
0.0%0.0%99.9%0.1%0.0%0.0%0.0%3
100.0%99.9%0.0%0.1%0.0%0.0%0.0%4
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample813.0ms (0.8%)

Memory
63.5MiB live, 1 036.3MiB allocated; 213ms collecting garbage
Samples
553.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 302.0ms
ival-mult!: 153.0ms (50.6% of total)
ival-sqrt: 96.0ms (31.8% of total)
ival-add!: 43.0ms (14.2% of total)
adjust: 10.0ms (3.3% of total)
Bogosity

preprocess42.0ms (0.0%)

Memory
3.9MiB live, 48.5MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035123
1122123
2354123
3477123
4915123
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
Symmetry

(abs x)

(abs y)

(abs z)

(sort x y)

(sort x z)

(sort y z)

Compiler

Compiled 24 to 18 computations (25.0% saved)

series36.0ms (0.0%)

Memory
8.8MiB live, 53.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291698
Stop Event
iter-limit
Counts
9 → 48
Calls
Call 1
Inputs
x
(*.f64 x x)
y
(*.f64 y y)
z
(*.f64 z z)
(+.f64 (*.f64 y y) (*.f64 z z))
(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (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)) (+.f64 (*.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)) (+.f64 (*.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 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.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)))) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.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 y y)
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* z z)) (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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (+ (* y y) (* z z)) (*.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 (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 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) (+.f64 (*.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) (+.f64 (*.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 (*.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)))) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx z z)
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #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)) (+.f64 (*.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)) (+.f64 (*.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 (+ (* y y) (* z z)) (*.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 (+ (* 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 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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (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) (+.f64 (*.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) (+.f64 (*.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 (*.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
9.0ms
z
0
1.0ms
x
inf
1.0ms
x
0
1.0ms
y
-inf
1.0ms
z
inf

rewrite148.0ms (0.1%)

Memory
-27.0MiB live, 207.3MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
01542
17642
229542
3111142
4212942
0409042
Stop Event
iter-limit
node-limit
iter-limit
Counts
9 → 390
Calls
Call 1
Inputs
x
(*.f64 x x)
y
(*.f64 y y)
z
(*.f64 z z)
(+.f64 (*.f64 y y) (*.f64 z z))
(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
Outputs
x
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
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(/.f64 (-.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))))
(/.f64 (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 0 binary64)) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) y)) (+.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x)))) (-.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x)))) (-.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)))) (+.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 z z) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (-.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 z z) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (neg.f64 z) z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z))) (*.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (*.f64 (*.f64 z z) z) z)) (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (neg.f64 z) z)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (*.f64 (*.f64 z z) z) z)) (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 y y))))))
(/.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 0 binary64)))
(neg.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 z z)))
(-.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (neg.f64 y) y))
(-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (neg.f64 z) z))
(-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
(-.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)))
(-.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)))
(sqrt.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))
(fabs.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 z z)))
(fabs.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z))
(+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))
(+.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 x x)))
(+.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 y y)))
(*.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 z z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))
(*.f64 (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 0 binary64)))
(pow.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/2 binary64)))

eval59.0ms (0.1%)

Memory
-15.1MiB live, 91.1MiB allocated; 40ms collecting garbage
Compiler

Compiled 10 034 to 1 895 computations (81.1% saved)

prune11.0ms (0.0%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4219430
Fresh000
Picked101
Done-110
Total42110431
Accuracy
91.3%
Counts
431 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))
48.9%
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
48.0%
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
5.5%
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
84.8%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
5.6%
#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)))))))
5.6%
#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 414 to 281 computations (32.1% saved)

series54.0ms (0.1%)

Memory
-6.5MiB live, 83.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04033676
Stop Event
iter-limit
Counts
30 → 111
Calls
Call 1
Inputs
x
y
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 z #s(literal 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 #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 #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))))))
#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(literal -1 binary64)
(*.f64 #s(literal -1 binary64) x)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) z)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(*.f64 x x)
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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 #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 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) (*.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)))))))
Outputs
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #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 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 (* 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))) (+.f64 (*.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 (* 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) (+.f64 (*.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 (* 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))))) (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (pow 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 (* 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 (+.f64 (*.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 (* 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 (+.f64 (*.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 (+ (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 (/ (+ (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 (* 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 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (* 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)) (+.f64 (*.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 (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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ 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) (+.f64 (*.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) (+.f64 (*.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 (*.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 y y)
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* z (+ 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))))) (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (+ (* y y) (* z z)) (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 (/ (+ (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 (* 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))) (+.f64 (*.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 (* 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) (+.f64 (*.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 (* 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))))) (+.f64 (*.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 (+ (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 (/ (+ (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 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* z (+ 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)) (+.f64 (*.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 (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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ (* y y) (* z z)) (*.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 (+ (* 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 (/ (+ (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 (* 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 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 (*.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 (* 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)) (+.f64 (*.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 (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) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx z z)
#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 (* 1/2 (/ (+ (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 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* z (+ 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 (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (* -1 z) (*.f64 #s(literal -1 binary64) z))
#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 (* 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))))) (+.f64 (*.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 x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* z (+ 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 (+.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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ (* y y) (* z z)) (*.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 (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (/ (+ (pow 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 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 1/2 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 (* 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)) (+.f64 (*.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 (* 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)))))
#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) (+.f64 (*.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) (+.f64 (*.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 (*.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
6.0ms
y
0
5.0ms
z
inf
4.0ms
x
inf
3.0ms
y
inf
3.0ms
x
0

rewrite201.0ms (0.2%)

Memory
24.3MiB live, 457.2MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036285
054281
1253281
21186265
04129245
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 1 093
Calls
Call 1
Inputs
x
y
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 z #s(literal 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 #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 #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))))))
#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(literal -1 binary64)
(*.f64 #s(literal -1 binary64) x)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) z)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(*.f64 x x)
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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 #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 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) (*.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)))))))
Outputs
x
y
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (fabs.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 x x))
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(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))) (+.f64 x (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) (*.f64 x (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))
(-.f64 x (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) x))
(+.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) x)))

eval5.2s (5.1%)

Memory
164.0MiB live, 6 836.9MiB allocated; 1.2s collecting garbage
Samples
3.0s51 114×0valid
1.1s18 262×0invalid
Compiler

Compiled 50 515 to 7 500 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult!: 1.1s (77.9% of total)
ival-sub!: 208.0ms (15.3% of total)
adjust: 94.0ms (6.9% of total)

prune129.0ms (0.1%)

Memory
-48.9MiB live, 236.3MiB allocated; 93ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1 29791 306
Fresh224
Picked505
Done011
Total1 304121 316
Accuracy
97.6%
Counts
1 316 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))))
48.9%
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
48.0%
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
86.7%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)))
98.6%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)))))
5.6%
#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)))))))
2.9%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)))))
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))
6.0%
#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))))
Samples
36.0ms730×0valid
19.0ms294×0invalid
Compiler

Compiled 578 to 377 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult!: 14.0ms (79.8% of total)
ival-sub!: 3.0ms (17.1% of total)
adjust: 1.0ms (5.7% of total)

series43.0ms (0.0%)

Memory
17.1MiB live, 64.7MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04293756
Stop Event
iter-limit
Counts
28 → 113
Calls
Call 1
Inputs
x
y
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.f64 z z)
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(neg.f64 x)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) y)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
(*.f64 x x)
#s(approx (+ (* y y) (* z z)) (*.f64 z z))
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 y)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)))))
Outputs
#s(approx x x)
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))) (+.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 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (*.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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (+.f64 (*.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 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (+.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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.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 (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)))
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (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) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx y y)
#s(approx (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (+.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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (* -1 y) (*.f64 #s(literal -1 binary64) y))
#s(approx (+ (* y y) (* z z)) (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 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (+.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 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.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 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (+.f64 (*.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 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (+.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 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.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 (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.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 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (+.f64 (*.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 (* z z)) (- (* y y) (* (neg x) x))) (*.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 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 (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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ (* y y) (* z z)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* z z)) (*.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 (+ (* 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 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (*.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 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 (*.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 (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 (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) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx z z)
#s(approx (/ 1 (* z z)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) z)))
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#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)) (+.f64 (*.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)) (+.f64 (*.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 (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (+.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 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.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 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (+.f64 (*.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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ (* y y) (* z z)) (*.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 (+ (* 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 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (*.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 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 1/2 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 (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 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) (+.f64 (*.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) (+.f64 (*.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 (*.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
3.0ms
x
0
2.0ms
z
0
2.0ms
z
inf
2.0ms
z
-inf
2.0ms
x
inf

rewrite421.0ms (0.4%)

Memory
26.0MiB live, 1 207.7MiB allocated; 88ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034274
056272
1267248
21147248
04157248
Stop Event
iter-limit
node-limit
iter-limit
Counts
28 → 3 001
Calls
Call 1
Inputs
x
y
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.f64 z z)
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(neg.f64 x)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) y)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
(*.f64 x x)
#s(approx (+ (* y y) (* z z)) (*.f64 z z))
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 y)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)))))
Outputs
x
y
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))))
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 #s(literal -1 binary64) (fabs.f64 z)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z)) (*.f64 #s(literal -1 binary64) (neg.f64 z)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))))
(*.f64 (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (fabs.f64 z) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (fabs.f64 z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 (*.f64 z z) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)))
(neg.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 z z)))
(neg.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (*.f64 (*.f64 z z) (*.f64 z z)))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 (fabs.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 0 binary64)))
(+.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (*.f64 z z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 z (/.f64 #s(literal -2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 z)) (/.f64 #s(literal -1 binary64) (fabs.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (/.f64 #s(literal -1 binary64) (fabs.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) (/.f64 #s(literal 1 binary64) (fabs.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 #s(literal 1 binary64) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal -2 binary64))
(pow.f64 (neg.f64 z) #s(literal -2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1 binary64))
(pow.f64 z #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) #s(literal 2 binary64)) (*.f64 (fabs.f64 z) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 z))) (*.f64 #s(literal 2 binary64) (fabs.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z))) (neg.f64 (fabs.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) (fabs.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 z) z) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) z)))
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 z) (/.f64 #s(literal 1 binary64) (fabs.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 (*.f64 y y) (*.f64 z z)))
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(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))
(neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x)) x)
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x))) (+.f64 x (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x)) (*.f64 x (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) (-.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))))))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64)) x))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64))))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) (neg.f64 x)))
(neg.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64))))
(neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x) x))
(-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (neg.f64 x))
(-.f64 x (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x))
(+.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x)
(+.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) x))

eval54.1s (53.5%)

Memory
979.6MiB live, 63 948.4MiB allocated; 23.6s collecting garbage
Samples
29.3s460 402×0valid
15.3s197 262×0invalid
Compiler

Compiled 114 581 to 15 098 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.2s
ival-mult!: 11.7s (71.9% of total)
adjust: 2.6s (15.8% of total)
ival-sub!: 2.0s (12.2% of total)

prune302.0ms (0.3%)

Memory
3.6MiB live, 377.0MiB allocated; 54ms collecting garbage
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New3 18273 189
Fresh066
Picked505
Done-231
Total3 185163 201
Accuracy
97.6%
Counts
3 201 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))))
48.9%
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
48.0%
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
86.7%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)))
98.6%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y y (neg.f64 x) x))))
96.4%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x x)))))
98.6%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)))))
5.6%
#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)))))))
2.9%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) z z (neg.f64 y) y))))
2.9%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)))))
2.9%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) z z (neg.f64 y) y)))))
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))))
0.8%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
1.2%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y))
1.7%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
6.0%
#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))))
Samples
123.0ms2 178×0valid
62.0ms894×0invalid
Compiler

Compiled 791 to 513 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult!: 49.0ms (79.0% of total)
ival-sub!: 9.0ms (14.5% of total)
adjust: 4.0ms (6.5% of total)

series109.0ms (0.1%)

Memory
5.0MiB live, 141.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04984160
Stop Event
iter-limit
Counts
37 → 132
Calls
Call 1
Inputs
x
y
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(log.f64 z)
#s(literal -2 binary64)
(*.f64 (log.f64 z) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64)))
(neg.f64 x)
(134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)))))
(neg.f64 y)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y))
(*.f64 y y)
(*.f64 x x)
(+.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)))))
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(*.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 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
#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))))
Outputs
#s(approx x x)
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))) (+.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 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))) (*.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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))) (+.f64 (*.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 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))))) (+.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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.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 (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ (* y y) (* x x)) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (* (+ (* y y) (* x x)) 1/2) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
#s(approx (/ (* (+ (* y y) (* x x)) 1/2) z) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (/ 1 x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)))
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (/ (pow z 2) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
#s(approx (* 1/2 (/ (pow z 2) x)) (*.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 #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 (+.f64 (*.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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ (* y y) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (* (+ (* y y) (* x x)) 1/2) z) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 z (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (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) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 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 y y)
#s(approx (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))))) (+.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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (neg y) (*.f64 #s(literal -1 binary64) y))
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
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#s(approx z z)
#s(approx (log z) (log.f64 z))
#s(approx (* (log z) -2) (*.f64 #s(literal -2 binary64) (log.f64 z)))
#s(approx (exp (* (log z) -2)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
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#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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (/ (* (+ (* y y) (* x x)) 1/2) z)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))
Calls

9 calls:

TimeVariablePoint
37.0ms
z
0
10.0ms
z
inf
10.0ms
z
-inf
6.0ms
y
0
4.0ms
x
0

rewrite400.0ms (0.4%)

Memory
9.9MiB live, 815.4MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051367
080355
1389339
21522339
04084331
Stop Event
iter-limit
node-limit
iter-limit
Counts
37 → 2 386
Calls
Call 1
Inputs
x
y
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(log.f64 z)
#s(literal -2 binary64)
(*.f64 (log.f64 z) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64)))
(neg.f64 x)
(134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)))))
(neg.f64 y)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y))
(*.f64 y y)
(*.f64 x x)
(+.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)))))
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(*.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 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
#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))))
Outputs
x
y
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 #s(literal 1 binary64)))
(log.f64 z)
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) (log.f64 z))
(*.f64 (log.f64 z) (log.f64 (exp.f64 #s(literal -2 binary64))))
(*.f64 (log.f64 z) #s(literal -2 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 z (/.f64 #s(literal -2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 #s(literal 1 binary64) #s(literal -2 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 z))
(pow.f64 (*.f64 z z) #s(literal -1 binary64))
(pow.f64 z #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (+.f64 (*.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(fabs.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 z)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)))
(neg.f64 x)
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(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x)) x)
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))) (+.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))) (+.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))))) (+.f64 x (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 x (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) (-.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))))))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))
(-.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))
(-.f64 x (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))))
(+.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x)
(+.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) x))
#s(literal 2 binary64)
(*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) z)
(*.f64 (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 (*.f64 z z) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 z z)
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (*.f64 (*.f64 z z) (*.f64 z z)))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 z) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 z x))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z x))
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x))
(*.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 z x) (/.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 (/.f64 z x) (/.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))
(*.f64 (/.f64 (*.f64 z z) x) #s(literal 1 binary64))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z))
(*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 z (/.f64 z x))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))
(/.f64 (*.f64 z z) x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) x) (/.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) (/.f64 z x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) x) (/.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 z z) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 z) z))) x)
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64))) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 z z) #s(literal 1/2 binary64))))
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 (/.f64 (*.f64 z z) x) #s(literal 1/2 binary64)))
#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 (/.f64 (*.f64 z z) x) #s(literal 1/2 binary64))))

eval36.7s (36.3%)

Memory
-338.1MiB live, 42 045.5MiB allocated; 18.4s collecting garbage
Samples
22.6s336 981×0valid
5.9s98 731×0invalid
Compiler

Compiled 99 461 to 12 543 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.6s
ival-mult!: 6.8s (63.5% of total)
ival-sub!: 3.3s (30.7% of total)
adjust: 615.0ms (5.8% of total)

prune238.0ms (0.2%)

Memory
-11.2MiB live, 327.9MiB allocated; 72ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New2 48972 496
Fresh448
Picked505
Done-473
Total2 494182 512
Accuracy
97.7%
Counts
2 512 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))))
48.9%
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
48.0%
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
99.5%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) z) y y (neg.f64 x) x)))
86.7%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)))
98.6%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)))))
5.6%
#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)))))))
2.9%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) z z (neg.f64 y) y))))
1.6%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 #s(literal 1/2 binary64) z (/.f64 z (*.f64 x x)) (/.f64 (neg.f64 y) x) (/.f64 y x)))))
2.9%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)))))
2.9%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) z z (neg.f64 y) y)))))
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))))
0.8%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
1.2%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y))
1.7%
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
6.0%
#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 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) 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 z (/.f64 z 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 z (*.f64 z (/.f64 #s(literal 1 binary64) x))))))
Samples
78.0ms903×0valid
54.0ms633×0invalid
Compiler

Compiled 486 to 321 computations (34.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult!: 45.0ms (85.0% of total)
ival-sub!: 6.0ms (11.3% of total)
adjust: 3.0ms (5.7% of total)

regimes515.0ms (0.5%)

Memory
6.8MiB live, 701.1MiB allocated; 163ms collecting garbage
Counts
6 → 1
7 → 1
9 → 1
11 → 1
12 → 1
13 → 1
33 → 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 y))
#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 y))
#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 y))
#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))))
#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 z (/.f64 z x)))))
#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 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x)))
Outputs
#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 z (/.f64 z x)))))
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 y))
#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))))
#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 z (/.f64 z x)))))
#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 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x)))
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
#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 z (*.f64 z (/.f64 #s(literal 1 binary64) x))))))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 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 y))
#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))))
#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 z (/.f64 z x)))))
#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 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x)))
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
#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 z (*.f64 z (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
Call 6
Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y))
#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))))
#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 z (/.f64 z x)))))
#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 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x)))
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
#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 z (*.f64 z (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)))
Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)))
Call 7
Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y))
#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))))
#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 z (/.f64 z x)))))
#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 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x)))
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
#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 z (*.f64 z (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) z) y y (neg.f64 x) x)))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) z z (neg.f64 y) y))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) z z (neg.f64 y) y))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y y (neg.f64 x) x))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 #s(literal 1/2 binary64) z (/.f64 z (*.f64 x x)) (/.f64 (neg.f64 y) x) (/.f64 y x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))
#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))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.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) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) z z (neg.f64 y) y)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 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 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) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) z) y y (neg.f64 x) x)))
Calls

63 calls:

17.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
10.0ms
(*.f64 y y)
9.0ms
y
9.0ms
z
9.0ms
x
Results
AccuracySegmentsBranch
1.7%1x
1.7%1(*.f64 x x)
1.7%1(*.f64 y y)
1.7%1y
1.7%1(*.f64 z z)
1.7%1(+.f64 (*.f64 y y) (*.f64 z z))
1.7%1(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))
1.7%1(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
1.7%1z
3.5%1(*.f64 z z)
3.5%1(+.f64 (*.f64 y y) (*.f64 z z))
3.5%1(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))
3.5%1(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
3.5%1(*.f64 y y)
3.5%1y
3.5%1z
3.5%1(*.f64 x x)
3.5%1x
6.1%1(*.f64 y y)
6.1%1y
6.1%1z
6.1%1(*.f64 x x)
6.1%1x
6.1%1(*.f64 z z)
6.1%1(+.f64 (*.f64 y y) (*.f64 z z))
6.1%1(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))
6.1%1(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
48.0%1(*.f64 y y)
48.0%1(*.f64 x x)
48.0%1y
48.0%1z
48.0%1(*.f64 z z)
48.0%1(+.f64 (*.f64 y y) (*.f64 z z))
48.0%1(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))
48.0%1(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
48.0%1x
48.9%1(*.f64 x x)
48.9%1x
48.9%1(*.f64 z z)
48.9%1(*.f64 y y)
48.9%1(+.f64 (*.f64 y y) (*.f64 z z))
48.9%1(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))
48.9%1(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
48.9%1y
48.9%1z
86.7%1(*.f64 z z)
86.7%1(*.f64 y y)
86.7%1(+.f64 (*.f64 y y) (*.f64 z z))
86.7%1(*.f64 x x)
86.7%1(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))
86.7%1(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
86.7%1x
86.7%1y
86.7%1z
99.5%1(*.f64 z z)
99.5%1(*.f64 y y)
99.5%1(+.f64 (*.f64 y y) (*.f64 z z))
99.5%1(*.f64 x x)
99.5%1(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))
99.5%1(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))))
99.5%1x
99.5%1y
99.5%1z
Samples
111.0ms1 770×0valid
61.0ms790×0invalid
Compiler

Compiled 1 172 to 478 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult!: 46.0ms (81.6% of total)
ival-sub!: 7.0ms (12.4% of total)
adjust: 3.0ms (5.3% of total)

derivations98.0ms (0.1%)

Memory
4.9MiB live, 97.5MiB allocated; 13ms collecting garbage
Stop Event
fuel
Samples
16.0ms256×0valid
Compiler

Compiled 163 to 50 computations (69.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 4.0ms (88.7% of total)
ival-sub!: 1.0ms (22.2% of total)
adjust: 0.0ms (0.0% of total)

preprocess1.5s (1.5%)

Memory
61.8MiB live, 2 261.8MiB allocated; 510ms collecting garbage
Symmetry

(sort x y)

(sort x z)

Samples
827.0ms13 632×0valid
Compiler

Compiled 3 843 to 2 424 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 271.0ms
ival-mult!: 215.0ms (79.4% of total)
ival-sub!: 39.0ms (14.4% of total)
adjust: 17.0ms (6.3% of total)

end0.0ms (0.0%)

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

Profiling

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