Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A

Average Error: 0.1 → 0.1

Time: 17.5s

Precision: 64

Math

\[x \cdot \cos y - z \cdot \sin y\]

↓

\[x \cdot \cos y - z \cdot \sin y\]

C

double f(double x, double y, double z) {
        double r10847322 = x;
        double r10847323 = y;
        double r10847324 = cos(r10847323);
        double r10847325 = r10847322 * r10847324;
        double r10847326 = z;
        double r10847327 = sin(r10847323);
        double r10847328 = r10847326 * r10847327;
        double r10847329 = r10847325 - r10847328;
        return r10847329;
}

↓

double f(double x, double y, double z) {
        double r10847330 = x;
        double r10847331 = y;
        double r10847332 = cos(r10847331);
        double r10847333 = r10847330 * r10847332;
        double r10847334 = z;
        double r10847335 = sin(r10847331);
        double r10847336 = r10847334 * r10847335;
        double r10847337 = r10847333 - r10847336;
        return r10847337;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

1. Initial program 0.1

   \[x \cdot \cos y - z \cdot \sin y\]

2. Final simplification 0.1

   \[\leadsto x \cdot \cos y - z \cdot \sin y\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A"
  (- (* x (cos y)) (* z (sin y))))