Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

Average Error: 0.0 → 0.0

Time: 4.5s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[x - y \cdot z\]

↓

\[x - y \cdot z\]

C

double f(double x, double y, double z) {
        double r595362 = x;
        double r595363 = y;
        double r595364 = z;
        double r595365 = r595363 * r595364;
        double r595366 = r595362 - r595365;
        return r595366;
}

↓

double f(double x, double y, double z) {
        double r595367 = x;
        double r595368 = y;
        double r595369 = z;
        double r595370 = r595368 * r595369;
        double r595371 = r595367 - r595370;
        return r595371;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Target

Original	0.0
Target	0.0
Herbie	0.0

\[\frac{x + y \cdot z}{\frac{x + y \cdot z}{x - y \cdot z}}\]

Derivation

1. Initial program 0.0

   \[x - y \cdot z\]

2. Final simplification 0.0

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

Reproduce

herbie shell --seed 2020045 
(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)))