Average Error: 0.1 → 0.1
Time: 30.2s
Precision: 64
\[\left(x + \sin y\right) + z \cdot \cos y\]
↓
\[z \cdot \cos y + \left(\sin y + x\right)\]
\left(x + \sin y\right) + z \cdot \cos y
↓
z \cdot \cos y + \left(\sin y + x\right)
double f(double x, double y, double z) {
        double r10309063 = x;
        double r10309064 = y;
        double r10309065 = sin(r10309064);
        double r10309066 = r10309063 + r10309065;
        double r10309067 = z;
        double r10309068 = cos(r10309064);
        double r10309069 = r10309067 * r10309068;
        double r10309070 = r10309066 + r10309069;
        return r10309070;
}
↓
double f(double x, double y, double z) {
        double r10309071 = z;
        double r10309072 = y;
        double r10309073 = cos(r10309072);
        double r10309074 = r10309071 * r10309073;
        double r10309075 = sin(r10309072);
        double r10309076 = x;
        double r10309077 = r10309075 + r10309076;
        double r10309078 = r10309074 + r10309077;
        return r10309078;
}

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. Simplified0.1

    \[\leadsto \color{blue}{\mathsf{fma}\left(\cos y, z, x + \sin y\right)}\]
  3. Using strategy rm

  4. Applied fma-udef0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2019165 +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))))