Average Error: 0.0 → 0.0
Time: 21.5s
Precision: 64
\[\left(x + \sin y\right) + z \cdot \cos y\]
↓
\[\mathsf{fma}\left(\cos y, z, x + \sin y\right)\]
\left(x + \sin y\right) + z \cdot \cos y
↓
\mathsf{fma}\left(\cos y, z, x + \sin y\right)
double f(double x, double y, double z) {
        double r20659674 = x;
        double r20659675 = y;
        double r20659676 = sin(r20659675);
        double r20659677 = r20659674 + r20659676;
        double r20659678 = z;
        double r20659679 = cos(r20659675);
        double r20659680 = r20659678 * r20659679;
        double r20659681 = r20659677 + r20659680;
        return r20659681;
}
↓
double f(double x, double y, double z) {
        double r20659682 = y;
        double r20659683 = cos(r20659682);
        double r20659684 = z;
        double r20659685 = x;
        double r20659686 = sin(r20659682);
        double r20659687 = r20659685 + r20659686;
        double r20659688 = fma(r20659683, r20659684, r20659687);
        return r20659688;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

  1. Initial program 0.0

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

  2. Simplified0.0

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

  3. Final simplification0.0

    \[\leadsto \mathsf{fma}\left(\cos y, z, x + \sin y\right)\]

Reproduce

herbie shell --seed 2019173 +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))))