Average Error: 0.0 → 0.0
Time: 6.7s
Precision: 64
\[x \cdot y + z \cdot \left(1 - y\right)\]
↓
\[\left(x \cdot y + z \cdot 1\right) + z \cdot \left(-y\right)\]
x \cdot y + z \cdot \left(1 - y\right)
↓
\left(x \cdot y + z \cdot 1\right) + z \cdot \left(-y\right)
double f(double x, double y, double z) {
        double r660236 = x;
        double r660237 = y;
        double r660238 = r660236 * r660237;
        double r660239 = z;
        double r660240 = 1.0;
        double r660241 = r660240 - r660237;
        double r660242 = r660239 * r660241;
        double r660243 = r660238 + r660242;
        return r660243;
}
↓
double f(double x, double y, double z) {
        double r660244 = x;
        double r660245 = y;
        double r660246 = r660244 * r660245;
        double r660247 = z;
        double r660248 = 1.0;
        double r660249 = r660247 * r660248;
        double r660250 = r660246 + r660249;
        double r660251 = -r660245;
        double r660252 = r660247 * r660251;
        double r660253 = r660250 + r660252;
        return r660253;
}

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

Target

Original0.0
Target0.0
Herbie0.0
\[z - \left(z - x\right) \cdot y\]

Derivation

  1. Initial program 0.0

    \[x \cdot y + z \cdot \left(1 - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

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

  4. Applied distribute-lft-in0.0

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

  5. Applied associate-+r+0.0

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

  6. Final simplification0.0

    \[\leadsto \left(x \cdot y + z \cdot 1\right) + z \cdot \left(-y\right)\]

Reproduce

herbie shell --seed 2020045 
(FPCore (x y z)
  :name "Diagrams.TwoD.Segment:bezierClip from diagrams-lib-1.3.0.3"
  :precision binary64

  :herbie-target
  (- z (* (- z x) y))

  (+ (* x y) (* z (- 1 y))))