Average Error: 0.0 → 0.0
Time: 7.5s
Precision: 64
\[x + y \cdot \left(z - x\right)\]
↓
\[x + \left(z \cdot y + y \cdot \left(-x\right)\right)\]
x + y \cdot \left(z - x\right)
↓
x + \left(z \cdot y + y \cdot \left(-x\right)\right)
double f(double x, double y, double z) {
        double r277610 = x;
        double r277611 = y;
        double r277612 = z;
        double r277613 = r277612 - r277610;
        double r277614 = r277611 * r277613;
        double r277615 = r277610 + r277614;
        return r277615;
}
↓
double f(double x, double y, double z) {
        double r277616 = x;
        double r277617 = z;
        double r277618 = y;
        double r277619 = r277617 * r277618;
        double r277620 = -r277616;
        double r277621 = r277618 * r277620;
        double r277622 = r277619 + r277621;
        double r277623 = r277616 + r277622;
        return r277623;
}

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

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

  3. Applied sub-neg0.0

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

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019169 
(FPCore (x y z)
  :name "SynthBasics:oscSampleBasedAux from YampaSynth-0.2"
  (+ x (* y (- z x))))