Average Error: 0.0 → 0.0
Time: 6.1s
Precision: 64
\[\left(x + y\right) \cdot \left(1 - z\right)\]
↓
\[1 \cdot \left(x + y\right) + \left(-z\right) \cdot \left(x + y\right)\]
\left(x + y\right) \cdot \left(1 - z\right)
↓
1 \cdot \left(x + y\right) + \left(-z\right) \cdot \left(x + y\right)
double f(double x, double y, double z) {
        double r24904 = x;
        double r24905 = y;
        double r24906 = r24904 + r24905;
        double r24907 = 1.0;
        double r24908 = z;
        double r24909 = r24907 - r24908;
        double r24910 = r24906 * r24909;
        return r24910;
}
↓
double f(double x, double y, double z) {
        double r24911 = 1.0;
        double r24912 = x;
        double r24913 = y;
        double r24914 = r24912 + r24913;
        double r24915 = r24911 * r24914;
        double r24916 = z;
        double r24917 = -r24916;
        double r24918 = r24917 * r24914;
        double r24919 = r24915 + r24918;
        return r24919;
}

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

Derivation

  1. Initial program 0.0

    \[\left(x + y\right) \cdot \left(1 - z\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

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

  4. Applied distribute-lft-in0.0

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

  5. Simplified0.0

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

  6. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019305 
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H"
  :precision binary64
  (* (+ x y) (- 1 z)))