Average Error: 0.0 → 0.0
Time: 2.1s
Precision: 64
\[x \cdot y + z \cdot \left(1 - y\right)\]
↓
\[\left(x \cdot y + 1 \cdot z\right) + \left(-y\right) \cdot z\]
x \cdot y + z \cdot \left(1 - y\right)
↓
\left(x \cdot y + 1 \cdot z\right) + \left(-y\right) \cdot z
double f(double x, double y, double z) {
        double r644337 = x;
        double r644338 = y;
        double r644339 = r644337 * r644338;
        double r644340 = z;
        double r644341 = 1.0;
        double r644342 = r644341 - r644338;
        double r644343 = r644340 * r644342;
        double r644344 = r644339 + r644343;
        return r644344;
}
↓
double f(double x, double y, double z) {
        double r644345 = x;
        double r644346 = y;
        double r644347 = r644345 * r644346;
        double r644348 = 1.0;
        double r644349 = z;
        double r644350 = r644348 * r644349;
        double r644351 = r644347 + r644350;
        double r644352 = -r644346;
        double r644353 = r644352 * r644349;
        double r644354 = r644351 + r644353;
        return r644354;
}

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-rgt-in0.0

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

  5. Applied associate-+r+0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 
(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))))