Average Error: 0.0 → 0.0
Time: 1.2s
Precision: 64
\[\left(x + y\right) \cdot \left(1 - z\right)\]
↓
\[1 \cdot \left(x + y\right) + \left(\left(-z\right) \cdot x + \left(-z\right) \cdot y\right)\]
\left(x + y\right) \cdot \left(1 - z\right)
↓
1 \cdot \left(x + y\right) + \left(\left(-z\right) \cdot x + \left(-z\right) \cdot y\right)
double f(double x, double y, double z) {
        double r52241 = x;
        double r52242 = y;
        double r52243 = r52241 + r52242;
        double r52244 = 1.0;
        double r52245 = z;
        double r52246 = r52244 - r52245;
        double r52247 = r52243 * r52246;
        return r52247;
}
↓
double f(double x, double y, double z) {
        double r52248 = 1.0;
        double r52249 = x;
        double r52250 = y;
        double r52251 = r52249 + r52250;
        double r52252 = r52248 * r52251;
        double r52253 = z;
        double r52254 = -r52253;
        double r52255 = r52254 * r52249;
        double r52256 = r52254 * r52250;
        double r52257 = r52255 + r52256;
        double r52258 = r52252 + r52257;
        return r52258;
}

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. Using strategy rm

  8. Applied distribute-lft-in0.0

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

  9. Final simplification0.0

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

Reproduce

herbie shell --seed 2020021 
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H"
  :precision binary64
  (* (+ x y) (- 1 z)))