Average Error: 0.1 → 0.1
Time: 4.4s
Precision: 64
\[x \cdot \sin y + z \cdot \cos y\]
↓
\[x \cdot \sin y + z \cdot \cos y\]
x \cdot \sin y + z \cdot \cos y
↓
x \cdot \sin y + z \cdot \cos y
double f(double x, double y, double z) {
        double r166173 = x;
        double r166174 = y;
        double r166175 = sin(r166174);
        double r166176 = r166173 * r166175;
        double r166177 = z;
        double r166178 = cos(r166174);
        double r166179 = r166177 * r166178;
        double r166180 = r166176 + r166179;
        return r166180;
}
↓
double f(double x, double y, double z) {
        double r166181 = x;
        double r166182 = y;
        double r166183 = sin(r166182);
        double r166184 = r166181 * r166183;
        double r166185 = z;
        double r166186 = cos(r166182);
        double r166187 = r166185 * r166186;
        double r166188 = r166184 + r166187;
        return r166188;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020056 
(FPCore (x y z)
  :name "Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, B"
  :precision binary64
  (+ (* x (sin y)) (* z (cos y))))