Average Error: 0.0 → 0.0
Time: 5.4s
Precision: 64
\[x \cdot y + z \cdot \left(1 - y\right)\]
↓
\[\left(1 \cdot z + x \cdot y\right) + z \cdot \left(-y\right)\]
x \cdot y + z \cdot \left(1 - y\right)
↓
\left(1 \cdot z + x \cdot y\right) + z \cdot \left(-y\right)
double f(double x, double y, double z) {
        double r712533 = x;
        double r712534 = y;
        double r712535 = r712533 * r712534;
        double r712536 = z;
        double r712537 = 1.0;
        double r712538 = r712537 - r712534;
        double r712539 = r712536 * r712538;
        double r712540 = r712535 + r712539;
        return r712540;
}
↓
double f(double x, double y, double z) {
        double r712541 = 1.0;
        double r712542 = z;
        double r712543 = r712541 * r712542;
        double r712544 = x;
        double r712545 = y;
        double r712546 = r712544 * r712545;
        double r712547 = r712543 + r712546;
        double r712548 = -r712545;
        double r712549 = r712542 * r712548;
        double r712550 = r712547 + r712549;
        return r712550;
}

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

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

  7. Final simplification0.0

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

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))))