Average Error: 0.0 → 0.0
Time: 10.8s
Precision: 64
\[x \cdot y + \left(1 - x\right) \cdot z\]
↓
\[y \cdot x + \left(1 - x\right) \cdot z\]
x \cdot y + \left(1 - x\right) \cdot z
↓
y \cdot x + \left(1 - x\right) \cdot z
double f(double x, double y, double z) {
        double r212148 = x;
        double r212149 = y;
        double r212150 = r212148 * r212149;
        double r212151 = 1.0;
        double r212152 = r212151 - r212148;
        double r212153 = z;
        double r212154 = r212152 * r212153;
        double r212155 = r212150 + r212154;
        return r212155;
}
↓
double f(double x, double y, double z) {
        double r212156 = y;
        double r212157 = x;
        double r212158 = r212156 * r212157;
        double r212159 = 1.0;
        double r212160 = r212159 - r212157;
        double r212161 = z;
        double r212162 = r212160 * r212161;
        double r212163 = r212158 + r212162;
        return r212163;
}

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

    \[x \cdot y + \left(1 - x\right) \cdot z\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(1 - x\right) \cdot z + x \cdot y}\]

  3. Final simplification0.0

    \[\leadsto y \cdot x + \left(1 - x\right) \cdot z\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z)
  :name "Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3"
  (+ (* x y) (* (- 1.0 x) z)))