Average Error: 0.1 → 0.1
Time: 4.0s
Precision: 64
\[\left(x + \sin y\right) + z \cdot \cos y\]
↓
\[\left(x + \sin y\right) + z \cdot \cos y\]
\left(x + \sin y\right) + z \cdot \cos y
↓
\left(x + \sin y\right) + z \cdot \cos y
double f(double x, double y, double z) {
        double r164969 = x;
        double r164970 = y;
        double r164971 = sin(r164970);
        double r164972 = r164969 + r164971;
        double r164973 = z;
        double r164974 = cos(r164970);
        double r164975 = r164973 * r164974;
        double r164976 = r164972 + r164975;
        return r164976;
}
↓
double f(double x, double y, double z) {
        double r164977 = x;
        double r164978 = y;
        double r164979 = sin(r164978);
        double r164980 = r164977 + r164979;
        double r164981 = z;
        double r164982 = cos(r164978);
        double r164983 = r164981 * r164982;
        double r164984 = r164980 + r164983;
        return r164984;
}

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

    \[\left(x + \sin y\right) + z \cdot \cos y\]
  2. Using strategy rm

  3. Applied pow10.1

    \[\leadsto \color{blue}{{\left(\left(x + \sin y\right) + z \cdot \cos y\right)}^{1}}\]

  4. Final simplification0.1

    \[\leadsto \left(x + \sin y\right) + z \cdot \cos y\]

Reproduce

herbie shell --seed 2020064 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C"
  :precision binary64
  (+ (+ x (sin y)) (* z (cos y))))