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

Average Error: 0.0 → 0.0

Time: 3.1s

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 r827420 = x;
        double r827421 = y;
        double r827422 = z;
        double r827423 = r827421 * r827422;
        double r827424 = r827420 - r827423;
        return r827424;
}

↓

double f(double x, double y, double z) {
        double r827425 = x;
        double r827426 = y;
        double r827427 = z;
        double r827428 = r827426 * r827427;
        double r827429 = r827425 - r827428;
        return r827429;
}

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 2020047 
(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)))