Average Error: 0.0 → 0.0
Time: 1.5s
Precision: 64
\[x \cdot y + z \cdot \left(1 - y\right)\]
↓
\[\left(x \cdot y + 1 \cdot z\right) + z \cdot \left(-y\right)\]
x \cdot y + z \cdot \left(1 - y\right)
↓
\left(x \cdot y + 1 \cdot z\right) + z \cdot \left(-y\right)
double f(double x, double y, double z) {
        double r574463 = x;
        double r574464 = y;
        double r574465 = r574463 * r574464;
        double r574466 = z;
        double r574467 = 1.0;
        double r574468 = r574467 - r574464;
        double r574469 = r574466 * r574468;
        double r574470 = r574465 + r574469;
        return r574470;
}
↓
double f(double x, double y, double z) {
        double r574471 = x;
        double r574472 = y;
        double r574473 = r574471 * r574472;
        double r574474 = 1.0;
        double r574475 = z;
        double r574476 = r574474 * r574475;
        double r574477 = r574473 + r574476;
        double r574478 = -r574472;
        double r574479 = r574475 * r574478;
        double r574480 = r574477 + r574479;
        return r574480;
}

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. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2020024 
(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))))