Average Error: 0.0 → 0.0
Time: 2.6s
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 r667254 = x;
        double r667255 = y;
        double r667256 = z;
        double r667257 = r667255 * r667256;
        double r667258 = r667254 - r667257;
        return r667258;
}
↓
double f(double x, double y, double z) {
        double r667259 = x;
        double r667260 = y;
        double r667261 = z;
        double r667262 = r667260 * r667261;
        double r667263 = r667259 - r667262;
        return r667263;
}

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 2020046 +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)))