Average Error: 0.0 → 0.0
Time: 1.1s
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 r34532 = x;
        double r34533 = y;
        double r34534 = r34532 + r34533;
        double r34535 = 1.0;
        double r34536 = z;
        double r34537 = r34535 - r34536;
        double r34538 = r34534 * r34537;
        return r34538;
}
↓
double f(double x, double y, double z) {
        double r34539 = 1.0;
        double r34540 = x;
        double r34541 = y;
        double r34542 = r34540 + r34541;
        double r34543 = r34539 * r34542;
        double r34544 = z;
        double r34545 = -r34544;
        double r34546 = r34545 * r34540;
        double r34547 = r34545 * r34541;
        double r34548 = r34546 + r34547;
        double r34549 = r34543 + r34548;
        return r34549;
}

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 2020020 
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H"
  :precision binary64
  (* (+ x y) (- 1 z)))