Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, B

Time bar (total: 2.0s)

start0.0ms (0%)

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

analyze118.0ms (5.9%)

Memory
1.3MiB live, 96.2MiB allocated; 11ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
30.8%25%56.2%0.1%0%18.7%0%7
30.8%25%56.2%0.1%0%18.7%0%8
32%25%53%0.1%0%21.8%0%9
55.8%37.4%29.6%0.1%0%32.8%0%10
55.8%37.4%29.6%0.1%0%32.8%0%11
57.8%37.4%27.3%0.1%0%35.1%0%12
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.2s (57.8%)

Memory
66.6MiB live, 1 470.6MiB allocated; 488ms collecting garbage
Samples
652.0ms8 256×0valid
169.0ms2 529×0invalid
Precisions
Click to see histograms. Total time spent on operations: 429.0ms
ival-sqrt: 203.0ms (47.3% of total)
ival-mult!: 195.0ms (45.4% of total)
ival-sub!: 30.0ms (7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess55.0ms (2.8%)

Memory
-27.1MiB live, 65.0MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033103
1133103
2574103
31163103
43594103
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.9%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Symmetry

(abs y)

(abs z)

(negabs x)

(sort y z)

Compiler

Compiled 20 to 16 computations (20% saved)

series24.0ms (1.2%)

Memory
-1.8MiB live, 43.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711762
Stop Event
iter-limit
Counts
8 → 58
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx x x)
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (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 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (- (* y y) (* z z)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (- (* y y) (* z z)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx y y)
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))
#s(approx (- (* y y) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (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 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (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 (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 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (- (* y y) (* z z)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64)))
#s(approx z z)
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (- (* y y) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))))
Calls

9 calls:

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

rewrite51.0ms (2.6%)

Memory
27.6MiB live, 76.7MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
01334
15434
053434
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
8 → 89
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
Outputs
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x)
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))))
x
(*.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 y y))))) (fabs.f64 y))
(*.f64 (pow.f64 (+.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (-.f64 y z) (+.f64 z y)))) (sqrt.f64 (fma.f64 z z (*.f64 y y))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y))))))
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))))
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 y y)))) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 y y)))) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 y y)))) y) y)
(*.f64 (+.f64 (fabs.f64 y) (fabs.f64 z)) (-.f64 (fabs.f64 y) (fabs.f64 z)))
(*.f64 (+.f64 (fabs.f64 y) (neg.f64 z)) (-.f64 (fabs.f64 y) (neg.f64 z)))
(*.f64 (+.f64 (fabs.f64 y) z) (-.f64 (fabs.f64 y) z))
(*.f64 (+.f64 (neg.f64 y) (fabs.f64 z)) (-.f64 (neg.f64 y) (fabs.f64 z)))
(*.f64 (+.f64 (neg.f64 y) (neg.f64 z)) (-.f64 (neg.f64 y) (neg.f64 z)))
(*.f64 (+.f64 (neg.f64 y) z) (-.f64 (neg.f64 y) z))
(*.f64 (+.f64 y (fabs.f64 z)) (-.f64 y (fabs.f64 z)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))) (*.f64 y y))
(*.f64 (-.f64 y z) (+.f64 z y))
(*.f64 (+.f64 z y) (-.f64 y z))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 y y)))) (*.f64 y y))
(*.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y y))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y))))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 y y)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 y y) (*.f64 (neg.f64 z) z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (-.f64 y z) (+.f64 z y)))) (neg.f64 (fma.f64 z z (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (-.f64 y z) (+.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)))))
(/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (-.f64 y z) (+.f64 z y))) (fma.f64 z z (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z))) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)))))
(neg.f64 (*.f64 (+.f64 z y) (-.f64 z y)))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 z) z))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (fabs.f64 z)) (fabs.f64 z) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 z) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 z) z))
(fma.f64 (fabs.f64 z) (neg.f64 (fabs.f64 z)) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 z) (neg.f64 (neg.f64 z)) (*.f64 y y))
(fma.f64 (neg.f64 z) z (*.f64 y y))
(fma.f64 z (neg.f64 z) (*.f64 y y))
(fma.f64 y y (*.f64 (neg.f64 z) z))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 z z (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (fma.f64 z z (*.f64 y y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y))))))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 z)) z))
(-.f64 (*.f64 y y) (*.f64 z z))
(+.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 y (neg.f64 y)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
z

eval17.0ms (0.9%)

Memory
-10.0MiB live, 37.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 258 to 653 computations (80% saved)

prune4.0ms (0.2%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1374141
Fresh000
Picked011
Done000
Total1375142
Accuracy
99.8%
Counts
142 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.9%
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x)
0.0%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
2.9%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
6.6%
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) y)))
13.3%
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
Compiler

Compiled 59 to 46 computations (22% saved)

series193.0ms (9.7%)

Memory
-1.6MiB live, 88.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011737531
Stop Event
iter-limit
Counts
18 → 192
Calls
Call 1
Inputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) y)))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
z
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x)
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(*.f64 (-.f64 y z) (+.f64 z y))
Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z)))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64))))))))))
#s(approx y y)
#s(approx (sqrt (- (* y y) (* z z))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (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 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* -1 y) (*.f64 #s(literal -1 binary64) y))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 x (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z)))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (fma.f64 x (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 z))))) (*.f64 x (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (fma.f64 x (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))) (*.f64 y (fma.f64 x (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z)))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 z)))))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (fma.f64 x (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))) (*.f64 y (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 z)))) (*.f64 y (fma.f64 x (*.f64 y (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 5 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 z) #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (sqrt.f64 (neg.f64 z)))))))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))))))))))))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 z)))) (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z)))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 z)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z)))))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z)))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 z)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z)))) (*.f64 y (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 5 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 z) #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (sqrt.f64 (neg.f64 z)))))))))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 z)))))
#s(approx (sqrt (+ z y)) (sqrt.f64 z))
#s(approx (sqrt (+ z y)) (+.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z)))))
#s(approx (sqrt (+ z y)) (+.f64 (sqrt.f64 z) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))))
#s(approx (sqrt (+ z y)) (+.f64 (sqrt.f64 z) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 z) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))))
#s(approx (+ z y) z)
#s(approx (+ z y) (+.f64 y z))
#s(approx (sqrt (- y z)) (sqrt.f64 (neg.f64 z)))
#s(approx (sqrt (- y z)) (+.f64 (sqrt.f64 (neg.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (neg.f64 z))))))
#s(approx (sqrt (- y z)) (+.f64 (sqrt.f64 (neg.f64 z)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 z))))))))
#s(approx (sqrt (- y z)) (+.f64 (sqrt.f64 (neg.f64 z)) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 z))))))))
#s(approx (- y z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- y z) (-.f64 y z))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (fma.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (fma.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))))))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (* (- y z) (+ z y))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))))
#s(approx (* (- y z) (+ z y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (- y z) (+ z y)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))))
#s(approx (* (- y z) (+ z y)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 y (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z))) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (fma.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (fma.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))))) (pow.f64 y #s(literal 6 binary64))))))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ z y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ z y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ z y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ z y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (+ z y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (sqrt (- y z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (- y z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- y z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64))))))))))
#s(approx (- y z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y)))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* (- y z) (+ z y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (* (- y z) (+ z y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 z y) (/.f64 z y)))))
#s(approx (* (- y z) (+ z y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 z y) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 z y))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))))
#s(approx (sqrt (+ z y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ z y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ z y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ z y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (+ z y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))))
#s(approx (sqrt (- y z)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (- y z)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- y z)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))))))))))
#s(approx (- y z) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) y))) y))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))))) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) y))) y))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) y) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) y) (*.f64 #s(literal -1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y))))))
#s(approx (* (- y z) (+ z y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y)))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (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 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (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 (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 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (fma.f64 x (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 6 binary64))))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (fma.f64 x (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 6 binary64))) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 10 binary64)))) (*.f64 #s(literal 37/512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 10 binary64)))))))))))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 6 binary64)))) (*.f64 #s(literal 9/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 6 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))
#s(approx (sqrt (+ z y)) (sqrt.f64 y))
#s(approx (sqrt (+ z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 y)))))
#s(approx (sqrt (+ z y)) (+.f64 (sqrt.f64 y) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 z (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ z y)) (+.f64 (sqrt.f64 y) (*.f64 z (fma.f64 z (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 z (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (- y z)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))
#s(approx (sqrt (- y z)) (+.f64 (sqrt.f64 y) (*.f64 z (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (- y z)) (+.f64 (sqrt.f64 y) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 z (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (- y z) (+.f64 y (*.f64 #s(literal -1 binary64) z)))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (fma.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
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#s(approx (sqrt (* (- y z) (+ z y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (* (- y z) (+ z y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
#s(approx (* (- y z) (+ z y)) (fma.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (- y z) (+ z y)) (fma.f64 z (+.f64 y (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) z))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
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#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* x (* (sqrt (+ z y)) (sqrt (- y z)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) (pow.f64 z #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 5 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64)))))))) (pow.f64 z #s(literal 6 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))))
#s(approx (* (sqrt (+ z y)) (sqrt (- y z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))))))))
#s(approx (sqrt (+ z y)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (sqrt (+ z y)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (sqrt (+ z y)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))))
#s(approx (sqrt (+ z y)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))))
#s(approx (+ z y) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
#s(approx (sqrt (- y z)) (*.f64 z (sqrt.f64 (/.f64 #s(literal -1 binary64) z))))
#s(approx (sqrt (- y z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))))))))
#s(approx (sqrt (- y z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))))))))
#s(approx (sqrt (- y z)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))))))))))
#s(approx (- y z) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 z (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* (- y z) (+ z y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 y z)) #s(literal 1 binary64))))
#s(approx (* (- y z) (+ z y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) (+.f64 (/.f64 y z) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))))
#s(approx (sqrt (+ z y)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt (+ z y)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))))
#s(approx (sqrt (+ z y)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))))
#s(approx (sqrt (+ z y)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))))))
#s(approx (+ z y) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))
#s(approx (sqrt (- y z)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))))
#s(approx (sqrt (- y z)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))))))))
#s(approx (sqrt (- y z)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))))))))))
#s(approx (sqrt (- y z)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))))))))))
#s(approx (- y z) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 #s(literal -1 binary64))))) z) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* (sqrt (* (- y z) (+ z y))) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 #s(literal -1 binary64))))) z) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z))))))
#s(approx (sqrt (* (- y z) (+ z y))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z))))))
#s(approx (* (- y z) (+ z y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) z)) #s(literal 1 binary64))))
#s(approx (* (- y z) (+ z y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64))))
Calls

9 calls:

TimeVariablePoint
7.0ms
y
0
6.0ms
y
inf
5.0ms
z
inf
4.0ms
y
-inf
3.0ms
x
0

rewrite62.0ms (3.1%)

Memory
13.7MiB live, 64.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023109
035104
1123104
01038104
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
18 → 219
Calls
Call 1
Inputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) y)))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
z
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x)
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(*.f64 (-.f64 y z) (+.f64 z y))
Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
x
y
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y)) x)
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y)))
#s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(literal -1 binary64)
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (+.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x)
(*.f64 (sqrt.f64 (-.f64 y z)) (*.f64 (sqrt.f64 (+.f64 z y)) x))
(*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (sqrt.f64 (-.f64 y z)) x))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))))
(*.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 y y))))) (fabs.f64 y))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y)))
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (-.f64 y z) (+.f64 z y)))) (sqrt.f64 (fma.f64 z z (*.f64 y y))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y))))))
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))))
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/2 binary64)))
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(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 z) z))
(fma.f64 y (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 z) z))
(fma.f64 y (-.f64 y z) (*.f64 (-.f64 y z) z))
(fma.f64 y (+.f64 z y) (*.f64 (neg.f64 z) (+.f64 z y)))
(fma.f64 y y (*.f64 (neg.f64 z) z))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 z z (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (fma.f64 z z (*.f64 y y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y))))))
(-.f64 (*.f64 (-.f64 y z) z) (*.f64 (-.f64 z y) y))
(-.f64 (*.f64 (-.f64 y z) z) (*.f64 (neg.f64 y) (-.f64 y z)))
(-.f64 (*.f64 (-.f64 y z) z) (neg.f64 (*.f64 (-.f64 y z) y)))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 z)) z))
(-.f64 (*.f64 y y) (*.f64 z z))
(+.f64 (*.f64 (+.f64 z y) y) (*.f64 (+.f64 z y) (neg.f64 z)))
(+.f64 (*.f64 y (+.f64 z y)) (*.f64 (neg.f64 z) (+.f64 z y)))
(+.f64 (*.f64 (-.f64 y z) y) (*.f64 (-.f64 y z) z))
(+.f64 (*.f64 (-.f64 y z) z) (*.f64 (-.f64 y z) y))
(+.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))

eval70.0ms (3.5%)

Memory
-4.8MiB live, 86.1MiB allocated; 11ms collecting garbage
Compiler

Compiled 13 306 to 2 311 computations (82.6% saved)

prune12.0ms (0.6%)

Memory
-19.2MiB live, 26.7MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4511452
Fresh000
Picked134
Done011
Total4525457
Accuracy
99.8%
Counts
457 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.9%
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x)
6.6%
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y)) x)
0.0%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
2.9%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
13.3%
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
Compiler

Compiled 58 to 45 computations (22.4% saved)

series13.0ms (0.6%)

Memory
31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561651
Stop Event
iter-limit
Counts
5 → 50
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y)) x)
#s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y))
(neg.f64 y)
y
x
Outputs
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx x x)
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (fma.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (fma.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (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 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y))
#s(approx y y)
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 x y))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (fma.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (fma.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (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 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (+.f64 (sqrt.f64 (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 (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 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))))
Calls

9 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0
0.0ms
y
-inf
0.0ms
y
inf

rewrite38.0ms (1.9%)

Memory
-13.7MiB live, 36.9MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01228
15228
053228
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
5 → 6
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y)) x)
#s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y))
(neg.f64 y)
y
x
Outputs
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y)))
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y)) x)
#s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y))
(neg.f64 y)
y
x

eval5.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 743 to 274 computations (84.3% saved)

prune2.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New51051
Fresh000
Picked011
Done044
Total51556
Accuracy
99.8%
Counts
56 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.9%
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x)
6.6%
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y)) x)
0.0%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
2.9%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
13.3%
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
Compiler

Compiled 58 to 45 computations (22.4% saved)

regimes23.0ms (1.1%)

Memory
-2.4MiB live, 42.7MiB allocated; 7ms collecting garbage
Accuracy

Total -8.5b remaining (-15.3%)

Threshold costs -8.5b (-15.3%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y)) x)
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x)
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
Calls

8 calls:

8.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(*.f64 z z)
2.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
Results
AccuracySegmentsBranch
13.3%1(*.f64 z z)
13.3%1(*.f64 y y)
13.3%1(-.f64 (*.f64 y y) (*.f64 z z))
13.3%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
13.3%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
13.3%1x
13.3%1y
13.3%1z
Compiler

Compiled 106 to 69 computations (34.9% saved)

derivations1.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess153.0ms (7.7%)

Memory
-6.1MiB live, 40.0MiB allocated; 7ms collecting garbage
Remove

(abs z)

(sort y z)

(negabs x)

Compiler

Compiled 220 to 158 computations (28.2% saved)

end0.0ms (0%)

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

Profiling

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