Math FPCore C Julia Wolfram TeX \[x + \left(y - z\right) \cdot \frac{t - x}{a - z}
\]
↓
\[\begin{array}{l}
t_1 := x + \left(z - y\right) \cdot \frac{x - t}{a - z}\\
\mathbf{if}\;t_1 \leq -2 \cdot 10^{-274} \lor \neg \left(t_1 \leq 0\right):\\
\;\;\;\;\mathsf{fma}\left(t - x, \frac{y - z}{a - z}, x\right)\\
\mathbf{else}:\\
\;\;\;\;t + \frac{x - t}{\frac{z}{y - a}}\\
\end{array}
\]
(FPCore (x y z t a) :precision binary64 (+ x (* (- y z) (/ (- t x) (- a z))))) ↓
(FPCore (x y z t a)
:precision binary64
(let* ((t_1 (+ x (* (- z y) (/ (- x t) (- a z))))))
(if (or (<= t_1 -2e-274) (not (<= t_1 0.0)))
(fma (- t x) (/ (- y z) (- a z)) x)
(+ t (/ (- x t) (/ z (- y a))))))) double code(double x, double y, double z, double t, double a) {
return x + ((y - z) * ((t - x) / (a - z)));
}
↓
double code(double x, double y, double z, double t, double a) {
double t_1 = x + ((z - y) * ((x - t) / (a - z)));
double tmp;
if ((t_1 <= -2e-274) || !(t_1 <= 0.0)) {
tmp = fma((t - x), ((y - z) / (a - z)), x);
} else {
tmp = t + ((x - t) / (z / (y - a)));
}
return tmp;
}
function code(x, y, z, t, a)
return Float64(x + Float64(Float64(y - z) * Float64(Float64(t - x) / Float64(a - z))))
end
↓
function code(x, y, z, t, a)
t_1 = Float64(x + Float64(Float64(z - y) * Float64(Float64(x - t) / Float64(a - z))))
tmp = 0.0
if ((t_1 <= -2e-274) || !(t_1 <= 0.0))
tmp = fma(Float64(t - x), Float64(Float64(y - z) / Float64(a - z)), x);
else
tmp = Float64(t + Float64(Float64(x - t) / Float64(z / Float64(y - a))));
end
return tmp
end
code[x_, y_, z_, t_, a_] := N[(x + N[(N[(y - z), $MachinePrecision] * N[(N[(t - x), $MachinePrecision] / N[(a - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_, z_, t_, a_] := Block[{t$95$1 = N[(x + N[(N[(z - y), $MachinePrecision] * N[(N[(x - t), $MachinePrecision] / N[(a - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[Or[LessEqual[t$95$1, -2e-274], N[Not[LessEqual[t$95$1, 0.0]], $MachinePrecision]], N[(N[(t - x), $MachinePrecision] * N[(N[(y - z), $MachinePrecision] / N[(a - z), $MachinePrecision]), $MachinePrecision] + x), $MachinePrecision], N[(t + N[(N[(x - t), $MachinePrecision] / N[(z / N[(y - a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]
x + \left(y - z\right) \cdot \frac{t - x}{a - z}
↓
\begin{array}{l}
t_1 := x + \left(z - y\right) \cdot \frac{x - t}{a - z}\\
\mathbf{if}\;t_1 \leq -2 \cdot 10^{-274} \lor \neg \left(t_1 \leq 0\right):\\
\;\;\;\;\mathsf{fma}\left(t - x, \frac{y - z}{a - z}, x\right)\\
\mathbf{else}:\\
\;\;\;\;t + \frac{x - t}{\frac{z}{y - a}}\\
\end{array}
Alternatives Alternative 1 Accuracy 89.4% Cost 2633
\[\begin{array}{l}
t_1 := x + \left(z - y\right) \cdot \frac{x - t}{a - z}\\
\mathbf{if}\;t_1 \leq -5 \cdot 10^{-259} \lor \neg \left(t_1 \leq 0\right):\\
\;\;\;\;t_1\\
\mathbf{else}:\\
\;\;\;\;t + \frac{x - t}{\frac{z}{y - a}}\\
\end{array}
\]
Alternative 2 Accuracy 60.2% Cost 1764
\[\begin{array}{l}
t_1 := t \cdot \frac{y - z}{a - z}\\
t_2 := t - y \cdot \frac{x}{-z}\\
t_3 := x + t \cdot \frac{y}{a}\\
\mathbf{if}\;a \leq -3.3 \cdot 10^{+81}:\\
\;\;\;\;t_3\\
\mathbf{elif}\;a \leq -2.3 \cdot 10^{+51}:\\
\;\;\;\;\frac{x \cdot \left(-y\right)}{a - z}\\
\mathbf{elif}\;a \leq -72000000000000:\\
\;\;\;\;x - y \cdot \frac{x}{a}\\
\mathbf{elif}\;a \leq -5.5 \cdot 10^{-102}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq -2.8 \cdot 10^{-184}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;a \leq 1.8 \cdot 10^{-234}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 1.9 \cdot 10^{-209}:\\
\;\;\;\;\frac{y}{\frac{-z}{t - x}}\\
\mathbf{elif}\;a \leq 2 \cdot 10^{-89}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;a \leq 7.8 \cdot 10^{+83}:\\
\;\;\;\;t_1\\
\mathbf{else}:\\
\;\;\;\;t_3\\
\end{array}
\]
Alternative 3 Accuracy 60.7% Cost 1764
\[\begin{array}{l}
t_1 := t \cdot \frac{y - z}{a - z}\\
t_2 := t - y \cdot \frac{x}{-z}\\
t_3 := x + t \cdot \frac{y}{a}\\
\mathbf{if}\;a \leq -2.2 \cdot 10^{+82}:\\
\;\;\;\;t_3\\
\mathbf{elif}\;a \leq -2.05 \cdot 10^{+51}:\\
\;\;\;\;y \cdot \frac{t - x}{a - z}\\
\mathbf{elif}\;a \leq -8.5 \cdot 10^{+20}:\\
\;\;\;\;x - y \cdot \frac{x}{a}\\
\mathbf{elif}\;a \leq -4.2 \cdot 10^{-101}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq -1.46 \cdot 10^{-179}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;a \leq 1.45 \cdot 10^{-234}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 1.9 \cdot 10^{-209}:\\
\;\;\;\;\frac{y}{\frac{-z}{t - x}}\\
\mathbf{elif}\;a \leq 5.8 \cdot 10^{-89}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;a \leq 2.85 \cdot 10^{+82}:\\
\;\;\;\;t_1\\
\mathbf{else}:\\
\;\;\;\;t_3\\
\end{array}
\]
Alternative 4 Accuracy 60.2% Cost 1764
\[\begin{array}{l}
t_1 := t \cdot \frac{y - z}{a - z}\\
t_2 := \left(t - x\right) \cdot \frac{y}{a - z}\\
t_3 := t - y \cdot \frac{x}{-z}\\
t_4 := x + t \cdot \frac{y}{a}\\
\mathbf{if}\;a \leq -2.4 \cdot 10^{+82}:\\
\;\;\;\;t_4\\
\mathbf{elif}\;a \leq -1.1 \cdot 10^{+51}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;a \leq -1200000000000:\\
\;\;\;\;x - y \cdot \frac{x}{a}\\
\mathbf{elif}\;a \leq -1.12 \cdot 10^{-100}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq -3.3 \cdot 10^{-185}:\\
\;\;\;\;t_3\\
\mathbf{elif}\;a \leq 1.05 \cdot 10^{-247}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 2.6 \cdot 10^{-181}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;a \leq 2.8 \cdot 10^{-89}:\\
\;\;\;\;t_3\\
\mathbf{elif}\;a \leq 1.05 \cdot 10^{+82}:\\
\;\;\;\;t_1\\
\mathbf{else}:\\
\;\;\;\;t_4\\
\end{array}
\]
Alternative 5 Accuracy 57.7% Cost 1700
\[\begin{array}{l}
t_1 := t - y \cdot \frac{x}{-z}\\
t_2 := x + t \cdot \frac{y}{a}\\
\mathbf{if}\;a \leq -3.3 \cdot 10^{+81}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;a \leq -2.3 \cdot 10^{+51}:\\
\;\;\;\;\frac{x \cdot \left(-y\right)}{a - z}\\
\mathbf{elif}\;a \leq -1.55 \cdot 10^{+17}:\\
\;\;\;\;x - y \cdot \frac{x}{a}\\
\mathbf{elif}\;a \leq -2.7 \cdot 10^{-48}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq -2.45 \cdot 10^{-70}:\\
\;\;\;\;x\\
\mathbf{elif}\;a \leq -6.2 \cdot 10^{-96}:\\
\;\;\;\;t - t \cdot \frac{y}{z}\\
\mathbf{elif}\;a \leq 1.1 \cdot 10^{-10}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 1450000000000:\\
\;\;\;\;y \cdot \frac{t}{a - z}\\
\mathbf{elif}\;a \leq 5.5 \cdot 10^{+20}:\\
\;\;\;\;t_1\\
\mathbf{else}:\\
\;\;\;\;t_2\\
\end{array}
\]
Alternative 6 Accuracy 63.7% Cost 1500
\[\begin{array}{l}
t_1 := t \cdot \frac{y - z}{a - z}\\
t_2 := x + \left(t - x\right) \cdot \frac{y}{a}\\
t_3 := t - y \cdot \frac{x}{-z}\\
\mathbf{if}\;a \leq -1.15 \cdot 10^{+20}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;a \leq -1.65 \cdot 10^{-101}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq -6.8 \cdot 10^{-181}:\\
\;\;\;\;t_3\\
\mathbf{elif}\;a \leq 4.5 \cdot 10^{-246}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 1.9 \cdot 10^{-209}:\\
\;\;\;\;\left(t - x\right) \cdot \frac{y}{a - z}\\
\mathbf{elif}\;a \leq 6 \cdot 10^{-89}:\\
\;\;\;\;t_3\\
\mathbf{elif}\;a \leq 2.2 \cdot 10^{+18}:\\
\;\;\;\;t_1\\
\mathbf{else}:\\
\;\;\;\;t_2\\
\end{array}
\]
Alternative 7 Accuracy 54.2% Cost 1372
\[\begin{array}{l}
t_1 := x + t \cdot \frac{y}{a}\\
\mathbf{if}\;a \leq -8.2 \cdot 10^{+81}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq -2.3 \cdot 10^{+51}:\\
\;\;\;\;\frac{x \cdot \left(-y\right)}{a - z}\\
\mathbf{elif}\;a \leq -1.05 \cdot 10^{-73}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 1.4 \cdot 10^{-9}:\\
\;\;\;\;t - t \cdot \frac{y}{z}\\
\mathbf{elif}\;a \leq 2.8 \cdot 10^{+14}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 2.1 \cdot 10^{+19}:\\
\;\;\;\;t - a \cdot \frac{x}{z}\\
\mathbf{elif}\;a \leq 10^{+85}:\\
\;\;\;\;x - y \cdot \frac{x}{a}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
Alternative 8 Accuracy 54.2% Cost 1372
\[\begin{array}{l}
t_1 := x + t \cdot \frac{y}{a}\\
\mathbf{if}\;a \leq -3.3 \cdot 10^{+81}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq -2.3 \cdot 10^{+51}:\\
\;\;\;\;\frac{x \cdot \left(-y\right)}{a - z}\\
\mathbf{elif}\;a \leq -1.9 \cdot 10^{-72}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 1.3 \cdot 10^{-9}:\\
\;\;\;\;t - t \cdot \frac{y}{z}\\
\mathbf{elif}\;a \leq 3.1 \cdot 10^{+14}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 4 \cdot 10^{+20}:\\
\;\;\;\;t - a \cdot \frac{x}{z}\\
\mathbf{elif}\;a \leq 1.9 \cdot 10^{+85}:\\
\;\;\;\;x - \frac{x}{\frac{a}{y}}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
Alternative 9 Accuracy 70.8% Cost 1232
\[\begin{array}{l}
t_1 := x + \left(t - x\right) \cdot \frac{y}{a}\\
\mathbf{if}\;a \leq -2.75 \cdot 10^{+16}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq -2.7 \cdot 10^{-48}:\\
\;\;\;\;t \cdot \frac{y - z}{a - z}\\
\mathbf{elif}\;a \leq -3.7 \cdot 10^{-70}:\\
\;\;\;\;x + \frac{z}{a} \cdot \left(x - t\right)\\
\mathbf{elif}\;a \leq 1.72 \cdot 10^{+18}:\\
\;\;\;\;t + \frac{x - t}{\frac{z}{y - a}}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
Alternative 10 Accuracy 55.1% Cost 1108
\[\begin{array}{l}
t_1 := x + t \cdot \frac{y}{a}\\
\mathbf{if}\;a \leq -5.4 \cdot 10^{-73}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 1.4 \cdot 10^{-9}:\\
\;\;\;\;t - t \cdot \frac{y}{z}\\
\mathbf{elif}\;a \leq 1.35 \cdot 10^{+14}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 2.65 \cdot 10^{+21}:\\
\;\;\;\;t - a \cdot \frac{x}{z}\\
\mathbf{elif}\;a \leq 9.5 \cdot 10^{+51}:\\
\;\;\;\;\left(t - x\right) \cdot \frac{y}{a}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
Alternative 11 Accuracy 55.2% Cost 1108
\[\begin{array}{l}
t_1 := x + t \cdot \frac{y}{a}\\
\mathbf{if}\;a \leq -3.7 \cdot 10^{-70}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 1.1 \cdot 10^{-9}:\\
\;\;\;\;t - t \cdot \frac{y}{z}\\
\mathbf{elif}\;a \leq 1.7 \cdot 10^{+14}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;a \leq 6.4 \cdot 10^{+18}:\\
\;\;\;\;t - a \cdot \frac{x}{z}\\
\mathbf{elif}\;a \leq 5.4 \cdot 10^{+88}:\\
\;\;\;\;x - y \cdot \frac{x}{a}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
Alternative 12 Accuracy 72.3% Cost 1100
\[\begin{array}{l}
t_1 := t + \frac{x - t}{\frac{z}{y - a}}\\
\mathbf{if}\;z \leq -2.35 \cdot 10^{+126}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;z \leq -1.2 \cdot 10^{+39}:\\
\;\;\;\;x + \frac{z}{a - z} \cdot \left(x - t\right)\\
\mathbf{elif}\;z \leq 5.8 \cdot 10^{+24}:\\
\;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
Alternative 13 Accuracy 68.9% Cost 972
\[\begin{array}{l}
t_1 := t + \frac{x}{z} \cdot \left(y - a\right)\\
\mathbf{if}\;z \leq -2.8 \cdot 10^{+171}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;z \leq -4.2 \cdot 10^{+40}:\\
\;\;\;\;t \cdot \frac{y - z}{a - z}\\
\mathbf{elif}\;z \leq 6.5 \cdot 10^{+47}:\\
\;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
Alternative 14 Accuracy 43.4% Cost 844
\[\begin{array}{l}
\mathbf{if}\;z \leq -2.05 \cdot 10^{+39}:\\
\;\;\;\;t\\
\mathbf{elif}\;z \leq -2.15 \cdot 10^{-48}:\\
\;\;\;\;x\\
\mathbf{elif}\;z \leq -8.5 \cdot 10^{-110}:\\
\;\;\;\;\left(y - z\right) \cdot \frac{t}{a}\\
\mathbf{elif}\;z \leq 4.8 \cdot 10^{+77}:\\
\;\;\;\;x\\
\mathbf{else}:\\
\;\;\;\;t\\
\end{array}
\]
Alternative 15 Accuracy 57.1% Cost 713
\[\begin{array}{l}
\mathbf{if}\;z \leq -2.2 \cdot 10^{+40} \lor \neg \left(z \leq 2 \cdot 10^{+95}\right):\\
\;\;\;\;t - a \cdot \frac{x}{z}\\
\mathbf{else}:\\
\;\;\;\;x + t \cdot \frac{y}{a}\\
\end{array}
\]
Alternative 16 Accuracy 53.5% Cost 712
\[\begin{array}{l}
\mathbf{if}\;z \leq -1.55 \cdot 10^{+40}:\\
\;\;\;\;t\\
\mathbf{elif}\;z \leq 2 \cdot 10^{+95}:\\
\;\;\;\;x + t \cdot \frac{y}{a}\\
\mathbf{else}:\\
\;\;\;\;t\\
\end{array}
\]
Alternative 17 Accuracy 44.1% Cost 328
\[\begin{array}{l}
\mathbf{if}\;z \leq -1.1 \cdot 10^{+40}:\\
\;\;\;\;t\\
\mathbf{elif}\;z \leq 3.75 \cdot 10^{+74}:\\
\;\;\;\;x\\
\mathbf{else}:\\
\;\;\;\;t\\
\end{array}
\]
Alternative 18 Accuracy 28.2% Cost 64
\[t
\]