Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[x \cdot 116 - 16\]
↓
\[116 \cdot x - 16\]
x \cdot 116 - 16
↓
116 \cdot x - 16
double f(double x) {
        double r14761083 = x;
        double r14761084 = 116.0;
        double r14761085 = r14761083 * r14761084;
        double r14761086 = 16.0;
        double r14761087 = r14761085 - r14761086;
        return r14761087;
}
↓
double f(double x) {
        double r14761088 = 116.0;
        double r14761089 = x;
        double r14761090 = r14761088 * r14761089;
        double r14761091 = 16.0;
        double r14761092 = r14761090 - r14761091;
        return r14761092;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot 116 - 16\]

  2. Final simplification0.0

    \[\leadsto 116 \cdot x - 16\]

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:lightness from colour-2.3.3"
  (- (* x 116.0) 16.0))