?

Average Error: 0.0 → 0.0
Time: 1.0min
Precision: binary64
Cost: 6720

?

\[200 \cdot \left(x - y\right) \]
↓
\[\mathsf{fma}\left(x, 200, -200 \cdot y\right) \]
(FPCore (x y) :precision binary64 (* 200.0 (- x y)))
↓
(FPCore (x y) :precision binary64 (fma x 200.0 (* -200.0 y)))
double code(double x, double y) {
	return 200.0 * (x - y);
}
↓
double code(double x, double y) {
	return fma(x, 200.0, (-200.0 * y));
}

function code(x, y)
	return Float64(200.0 * Float64(x - y))
end
↓
function code(x, y)
	return fma(x, 200.0, Float64(-200.0 * y))
end

code[x_, y_] := N[(200.0 * N[(x - y), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_] := N[(x * 200.0 + N[(-200.0 * y), $MachinePrecision]), $MachinePrecision]

200 \cdot \left(x - y\right)
↓
\mathsf{fma}\left(x, 200, -200 \cdot y\right)

Error?

Derivation?

  1. Initial program 0.0

    \[200 \cdot \left(x - y\right) \]

  2. Applied egg-rr0.0

    \[\leadsto \color{blue}{\mathsf{fma}\left(x, 200, \left(-y\right) \cdot 200\right)} \]

  3. Applied egg-rr0.0

    \[\leadsto \color{blue}{\mathsf{fma}\left(x, 200, -200 \cdot y\right)} \]

Alternatives

Alternative 1
Error16.6
Cost984
\[\begin{array}{l} \mathbf{if}\;x \leq -1.25 \cdot 10^{+72}:\\ \;\;\;\;200 \cdot x\\ \mathbf{elif}\;x \leq -8 \cdot 10^{+23}:\\ \;\;\;\;y \cdot -200\\ \mathbf{elif}\;x \leq -2.3 \cdot 10^{-45}:\\ \;\;\;\;200 \cdot x\\ \mathbf{elif}\;x \leq 0.000145:\\ \;\;\;\;y \cdot -200\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{+70}:\\ \;\;\;\;200 \cdot x\\ \mathbf{elif}\;x \leq 6.8 \cdot 10^{+102}:\\ \;\;\;\;y \cdot -200\\ \mathbf{else}:\\ \;\;\;\;200 \cdot x\\ \end{array} \]
Alternative 2
Error0.0
Cost448
\[200 \cdot x - y \cdot 200 \]
Alternative 3
Error0.0
Cost320
\[200 \cdot \left(x - y\right) \]
Alternative 4
Error31.7
Cost192
\[200 \cdot x \]

Error

Reproduce?

herbie shell --seed 2023033 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  :precision binary64
  (* 200.0 (- x y)))