Average Error: 0.1 → 0.1
Time: 20.0s
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 r11325416 = x;
        double r11325417 = y;
        double r11325418 = sin(r11325417);
        double r11325419 = r11325416 + r11325418;
        double r11325420 = z;
        double r11325421 = cos(r11325417);
        double r11325422 = r11325420 * r11325421;
        double r11325423 = r11325419 + r11325422;
        return r11325423;
}
↓
double f(double x, double y, double z) {
        double r11325424 = x;
        double r11325425 = y;
        double r11325426 = sin(r11325425);
        double r11325427 = r11325424 + r11325426;
        double r11325428 = z;
        double r11325429 = cos(r11325425);
        double r11325430 = r11325428 * r11325429;
        double r11325431 = r11325427 + r11325430;
        return r11325431;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C"
  (+ (+ x (sin y)) (* z (cos y))))