Average Error: 0.0 → 0.0
Time: 3.1s
Precision: binary64
Cost: 6720
\[\left(x + y\right) \cdot z \]
↓
\[\mathsf{fma}\left(z, x, z \cdot y\right) \]
(FPCore (x y z) :precision binary64 (* (+ x y) z))
↓
(FPCore (x y z) :precision binary64 (fma z x (* z y)))
double code(double x, double y, double z) {
	return (x + y) * z;
}
↓
double code(double x, double y, double z) {
	return fma(z, x, (z * y));
}

function code(x, y, z)
	return Float64(Float64(x + y) * z)
end
↓
function code(x, y, z)
	return fma(z, x, Float64(z * y))
end

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

\left(x + y\right) \cdot z
↓
\mathsf{fma}\left(z, x, z \cdot y\right)

Error

Derivation

  1. Initial program 0.0

    \[\left(x + y\right) \cdot z \]

  2. Applied egg-rr0.0

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

Alternatives

Alternative 1
Error16.2
Cost720
\[\begin{array}{l} \mathbf{if}\;x \leq -620:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;x \leq -2.15 \cdot 10^{-44}:\\ \;\;\;\;y \cdot z\\ \mathbf{elif}\;x \leq -7.8 \cdot 10^{-124}:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{-50}:\\ \;\;\;\;y \cdot z\\ \mathbf{else}:\\ \;\;\;\;z \cdot x\\ \end{array} \]
Alternative 2
Error0.0
Cost320
\[\left(x + y\right) \cdot z \]
Alternative 3
Error30.3
Cost192
\[y \cdot z \]

Error

Reproduce

herbie shell --seed 2023010 
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  :precision binary64
  (* (+ x y) z))