Average Error: 2.6 → 2.6
Time: 14.5s
Precision: 64
\[\frac{x}{y - z \cdot t}\]
↓
\[\frac{x}{y - z \cdot t}\]
\frac{x}{y - z \cdot t}
↓
\frac{x}{y - z \cdot t}
double f(double x, double y, double z, double t) {
        double r29344172 = x;
        double r29344173 = y;
        double r29344174 = z;
        double r29344175 = t;
        double r29344176 = r29344174 * r29344175;
        double r29344177 = r29344173 - r29344176;
        double r29344178 = r29344172 / r29344177;
        return r29344178;
}
↓
double f(double x, double y, double z, double t) {
        double r29344179 = x;
        double r29344180 = y;
        double r29344181 = z;
        double r29344182 = t;
        double r29344183 = r29344181 * r29344182;
        double r29344184 = r29344180 - r29344183;
        double r29344185 = r29344179 / r29344184;
        return r29344185;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original2.6
Target1.5
Herbie2.6
\[\begin{array}{l} \mathbf{if}\;x \lt -1.618195973607049 \cdot 10^{+50}:\\ \;\;\;\;\frac{1}{\frac{y}{x} - \frac{z}{x} \cdot t}\\ \mathbf{elif}\;x \lt 2.1378306434876444 \cdot 10^{+131}:\\ \;\;\;\;\frac{x}{y - z \cdot t}\\ \mathbf{else}:\\ \;\;\;\;\frac{1}{\frac{y}{x} - \frac{z}{x} \cdot t}\\ \end{array}\]

Derivation

  1. Initial program 2.6

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

  2. Final simplification2.6

    \[\leadsto \frac{x}{y - z \cdot t}\]

Reproduce

herbie shell --seed 2019164 +o rules:numerics
(FPCore (x y z t)
  :name "Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, B"

  :herbie-target
  (if (< x -1.618195973607049e+50) (/ 1 (- (/ y x) (* (/ z x) t))) (if (< x 2.1378306434876444e+131) (/ x (- y (* z t))) (/ 1 (- (/ y x) (* (/ z x) t)))))

  (/ x (- y (* z t))))