Average Error: 0.0 → 0.0

Time: 7.0s

Precision: 64

\[\frac{x + 16}{116}\]

↓

\[\frac{16 + x}{116}\]

\frac{x + 16}{116}

↓

\frac{16 + x}{116}

double f(double x) {
        double r8851083 = x;
        double r8851084 = 16.0;
        double r8851085 = r8851083 + r8851084;
        double r8851086 = 116.0;
        double r8851087 = r8851085 / r8851086;
        return r8851087;
}

↓

double f(double x) {
        double r8851088 = 16.0;
        double r8851089 = x;
        double r8851090 = r8851088 + r8851089;
        double r8851091 = 116.0;
        double r8851092 = r8851090 / r8851091;
        return r8851092;
}

Error

The X axis uses an exponential scale — Bits error versus `x`

Try it out

In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.0
\[\frac{x + 16}{116}\]
Final simplification0.0
\[\leadsto \frac{16 + x}{116}\]

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, B"
  (/ (+ x 16.0) 116.0))