Average Error: 0.1 → 0.1
Time: 13.8s
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 r6573330 = x;
        double r6573331 = y;
        double r6573332 = sin(r6573331);
        double r6573333 = r6573330 + r6573332;
        double r6573334 = z;
        double r6573335 = cos(r6573331);
        double r6573336 = r6573334 * r6573335;
        double r6573337 = r6573333 + r6573336;
        return r6573337;
}
↓
double f(double x, double y, double z) {
        double r6573338 = x;
        double r6573339 = y;
        double r6573340 = sin(r6573339);
        double r6573341 = r6573338 + r6573340;
        double r6573342 = z;
        double r6573343 = cos(r6573339);
        double r6573344 = r6573342 * r6573343;
        double r6573345 = r6573341 + r6573344;
        return r6573345;
}

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))))