Average Error: 0.0 → 0.0
Time: 16.3s
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 r86142 = x;
        double r86143 = y;
        double r86144 = sin(r86143);
        double r86145 = r86142 + r86144;
        double r86146 = z;
        double r86147 = cos(r86143);
        double r86148 = r86146 * r86147;
        double r86149 = r86145 + r86148;
        return r86149;
}
↓
double f(double x, double y, double z) {
        double r86150 = x;
        double r86151 = y;
        double r86152 = sin(r86151);
        double r86153 = r86150 + r86152;
        double r86154 = z;
        double r86155 = cos(r86151);
        double r86156 = r86154 * r86155;
        double r86157 = r86153 + r86156;
        return r86157;
}

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 0.0

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

  3. Applied *-un-lft-identity0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019304 +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))))