Average Error: 0.0 → 0.0
Time: 5.8s
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 r779283 = x;
        double r779284 = y;
        double r779285 = r779283 * r779284;
        double r779286 = z;
        double r779287 = 1.0;
        double r779288 = r779287 - r779284;
        double r779289 = r779286 * r779288;
        double r779290 = r779285 + r779289;
        return r779290;
}
↓
double f(double x, double y, double z) {
        double r779291 = x;
        double r779292 = y;
        double r779293 = r779291 * r779292;
        double r779294 = z;
        double r779295 = 1.0;
        double r779296 = r779294 * r779295;
        double r779297 = r779293 + r779296;
        double r779298 = -r779292;
        double r779299 = r779294 * r779298;
        double r779300 = r779297 + r779299;
        return r779300;
}

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))))