Average Error: 0.0 → 0.0
Time: 2.1s
Precision: binary64
Cost: 320
\[x \cdot 116 - 16\]
↓
\[x \cdot 116 - 16\]
x \cdot 116 - 16
↓
x \cdot 116 - 16
(FPCore (x) :precision binary64 (- (* x 116.0) 16.0))
↓
(FPCore (x) :precision binary64 (- (* x 116.0) 16.0))
double code(double x) {
	return (x * 116.0) - 16.0;
}
↓
double code(double x) {
	return (x * 116.0) - 16.0;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Alternatives

Alternative 1
Error1.4
Cost776
\[\begin{array}{l} \mathbf{if}\;x \cdot 116 \leq -15.90069583635299 \lor \neg \left(x \cdot 116 \leq 15.999513541494403\right):\\ \;\;\;\;x \cdot 116\\ \mathbf{else}:\\ \;\;\;\;-16\\ \end{array}\]
Alternative 2
Error32.0
Cost64
\[-16\]
Alternative 3
Error58.0
Cost64
\[-1\]
Alternative 4
Error62.3
Cost64
\[0\]
Alternative 5
Error62.5
Cost64
\[1\]

Error

Derivation

  1. Initial program 0.0

    \[x \cdot 116 - 16\]

  2. Simplified0.0

    \[\leadsto \color{blue}{x \cdot 116 - 16}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2021044 
(FPCore (x)
  :name "Data.Colour.CIE:lightness from colour-2.3.3"
  :precision binary64
  (- (* x 116.0) 16.0))