Average Error: 0.0 → 0.0
Time: 1.8s
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 r635816 = x;
        double r635817 = y;
        double r635818 = z;
        double r635819 = r635817 * r635818;
        double r635820 = r635816 - r635819;
        return r635820;
}
↓
double f(double x, double y, double z) {
        double r635821 = x;
        double r635822 = y;
        double r635823 = z;
        double r635824 = r635822 * r635823;
        double r635825 = r635821 - r635824;
        return r635825;
}

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 2020100 +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)))