Average Error: 0.0 → 0.0
Time: 13.6s
Precision: 64
\[x + y \cdot \left(z - x\right)\]
↓
\[x + \left(y \cdot z + \left(-x\right) \cdot y\right)\]
x + y \cdot \left(z - x\right)
↓
x + \left(y \cdot z + \left(-x\right) \cdot y\right)
double f(double x, double y, double z) {
        double r19117 = x;
        double r19118 = y;
        double r19119 = z;
        double r19120 = r19119 - r19117;
        double r19121 = r19118 * r19120;
        double r19122 = r19117 + r19121;
        return r19122;
}
↓
double f(double x, double y, double z) {
        double r19123 = x;
        double r19124 = y;
        double r19125 = z;
        double r19126 = r19124 * r19125;
        double r19127 = -r19123;
        double r19128 = r19127 * r19124;
        double r19129 = r19126 + r19128;
        double r19130 = r19123 + r19129;
        return r19130;
}

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. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019198 
(FPCore (x y z)
  :name "SynthBasics:oscSampleBasedAux from YampaSynth-0.2"
  (+ x (* y (- z x))))