Average Error: 0.0 → 0.0
Time: 453.0ms
Precision: 64
\[x - y \cdot z\]
↓
\[x - y \cdot z\]
x - y \cdot z
↓
x - y \cdot z
double f(double x, double y, double z) {
        double r717809 = x;
        double r717810 = y;
        double r717811 = z;
        double r717812 = r717810 * r717811;
        double r717813 = r717809 - r717812;
        return r717813;
}
↓
double f(double x, double y, double z) {
        double r717814 = x;
        double r717815 = y;
        double r717816 = z;
        double r717817 = r717815 * r717816;
        double r717818 = r717814 - r717817;
        return r717818;
}

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

Target

Original0.0
Target0.0
Herbie0.0
\[\frac{x + y \cdot z}{\frac{x + y \cdot z}{x - y \cdot z}}\]

Derivation

  1. Initial program 0.0

    \[x - y \cdot z\]

  2. Final simplification0.0

    \[\leadsto x - y \cdot z\]

Reproduce

herbie shell --seed 2020020 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C"
  :precision binary64

  :herbie-target
  (/ (+ x (* y z)) (/ (+ x (* y z)) (- x (* y z))))

  (- x (* y z)))