Average Error: 0.0 → 0.0
Time: 7.0s
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 r482934 = x;
        double r482935 = y;
        double r482936 = r482934 * r482935;
        double r482937 = z;
        double r482938 = 1.0;
        double r482939 = r482938 - r482935;
        double r482940 = r482937 * r482939;
        double r482941 = r482936 + r482940;
        return r482941;
}
↓
double f(double x, double y, double z) {
        double r482942 = 1.0;
        double r482943 = z;
        double r482944 = r482942 * r482943;
        double r482945 = x;
        double r482946 = y;
        double r482947 = r482945 * r482946;
        double r482948 = r482944 + r482947;
        double r482949 = -r482946;
        double r482950 = r482943 * r482949;
        double r482951 = r482948 + r482950;
        return r482951;
}

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 2019305 
(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))))