?

\[\left(1 - x\right) \cdot y + x \cdot z \]

↓

\[\mathsf{fma}\left(1 - x, y, x \cdot z\right) \]

(FPCore (x y z) :precision binary64 (+ (* (- 1.0 x) y) (* x z)))

↓

(FPCore (x y z) :precision binary64 (fma (- 1.0 x) y (* x z)))

double code(double x, double y, double z) {
	return ((1.0 - x) * y) + (x * z);
}

↓

double code(double x, double y, double z) {
	return fma((1.0 - x), y, (x * z));
}

function code(x, y, z)
	return Float64(Float64(Float64(1.0 - x) * y) + Float64(x * z))
end

↓

function code(x, y, z)
	return fma(Float64(1.0 - x), y, Float64(x * z))
end

code[x_, y_, z_] := N[(N[(N[(1.0 - x), $MachinePrecision] * y), $MachinePrecision] + N[(x * z), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_] := N[(N[(1.0 - x), $MachinePrecision] * y + N[(x * z), $MachinePrecision]), $MachinePrecision]

\left(1 - x\right) \cdot y + x \cdot z

↓

\mathsf{fma}\left(1 - x, y, x \cdot z\right)

Original	0.0
Target	0.0
Herbie	0.0

Alternatives

Alternative 1
Error	23.8
Cost	1312

\[\begin{array}{l} t_0 := -y \cdot x\\ \mathbf{if}\;x \leq -8.6 \cdot 10^{+70}:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;x \leq -2.3 \cdot 10^{+35}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq -3.7 \cdot 10^{-12}:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{-90}:\\ \;\;\;\;y\\ \mathbf{elif}\;x \leq 4.8 \cdot 10^{-71}:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;x \leq 3 \cdot 10^{-35}:\\ \;\;\;\;y\\ \mathbf{elif}\;x \leq 1.76 \cdot 10^{+102}:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;x \leq 1.85 \cdot 10^{+179}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;z \cdot x\\ \end{array} \]

Alternative 2
Error	13.4
Cost	848

\[\begin{array}{l} t_0 := \left(z - y\right) \cdot x\\ \mathbf{if}\;x \leq -2.05 \cdot 10^{+20}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-90}:\\ \;\;\;\;y \cdot \left(1 - x\right)\\ \mathbf{elif}\;x \leq 4.8 \cdot 10^{-71}:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;x \leq 7.5 \cdot 10^{-35}:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	23.9
Cost	720

\[\begin{array}{l} \mathbf{if}\;x \leq -7.8 \cdot 10^{-13}:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-90}:\\ \;\;\;\;y\\ \mathbf{elif}\;x \leq 5.9 \cdot 10^{-71}:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-35}:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;z \cdot x\\ \end{array} \]

Alternative 4
Error	18.4
Cost	584

\[\begin{array}{l} \mathbf{if}\;z \leq -2.25 \cdot 10^{-21}:\\ \;\;\;\;z \cdot x\\ \mathbf{elif}\;z \leq 2.75 \cdot 10^{+69}:\\ \;\;\;\;y \cdot \left(1 - x\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot x\\ \end{array} \]

Alternative 5
Error	0.0
Cost	576

\[\left(1 - x\right) \cdot y + x \cdot z \]

Alternative 6
Error	35.0
Cost	64

\[y \]

Reproduce?

herbie shell --seed 2023033 
(FPCore (x y z)
  :name "Diagrams.Color.HSV:lerp  from diagrams-contrib-1.3.0.5"
  :precision binary64

  :herbie-target
  (- y (* x (- y z)))

  (+ (* (- 1.0 x) y) (* x z)))

?

?

Error?

Target

Derivation?

Alternatives

Error

Reproduce?