Average Error: 0.0 → 0.0
Time: 877.0ms
Precision: 64
\[x + y \cdot \left(z - x\right)\]
↓
\[x + y \cdot \left(z - x\right)\]
x + y \cdot \left(z - x\right)
↓
x + y \cdot \left(z - x\right)
double f(double x, double y, double z) {
        double r727 = x;
        double r728 = y;
        double r729 = z;
        double r730 = r729 - r727;
        double r731 = r728 * r730;
        double r732 = r727 + r731;
        return r732;
}
↓
double f(double x, double y, double z) {
        double r733 = x;
        double r734 = y;
        double r735 = z;
        double r736 = r735 - r733;
        double r737 = r734 * r736;
        double r738 = r733 + r737;
        return r738;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020064 +o rules:numerics
(FPCore (x y z)
  :name "SynthBasics:oscSampleBasedAux from YampaSynth-0.2"
  :precision binary64
  (+ x (* y (- z x))))