Average Error: 0.0 → 0.0
Time: 9.7s
Precision: 64
\[x + y \cdot \left(z - x\right)\]
↓
\[\left(-x\right) \cdot y + \left(x + y \cdot z\right)\]
x + y \cdot \left(z - x\right)
↓
\left(-x\right) \cdot y + \left(x + y \cdot z\right)
double f(double x, double y, double z) {
        double r13752 = x;
        double r13753 = y;
        double r13754 = z;
        double r13755 = r13754 - r13752;
        double r13756 = r13753 * r13755;
        double r13757 = r13752 + r13756;
        return r13757;
}
↓
double f(double x, double y, double z) {
        double r13758 = x;
        double r13759 = -r13758;
        double r13760 = y;
        double r13761 = r13759 * r13760;
        double r13762 = z;
        double r13763 = r13760 * r13762;
        double r13764 = r13758 + r13763;
        double r13765 = r13761 + r13764;
        return r13765;
}

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. Applied associate-+r+0.0

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

  6. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "SynthBasics:oscSampleBasedAux from YampaSynth-0.2"
  (+ x (* y (- z x))))