?

Average Accuracy: 76.6% → 94.2%
Time: 31.6s
Precision: binary64
Cost: 8905

?

\[x + \left(y - z\right) \cdot \frac{t - x}{a - z} \]
\[\begin{array}{l} t_1 := x + \left(z - y\right) \cdot \frac{x - t}{a - z}\\ \mathbf{if}\;t_1 \leq -2 \cdot 10^{-274} \lor \neg \left(t_1 \leq 0\right):\\ \;\;\;\;\mathsf{fma}\left(t - x, \frac{y - z}{a - z}, x\right)\\ \mathbf{else}:\\ \;\;\;\;t + \frac{x - t}{\frac{z}{y - a}}\\ \end{array} \]
(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}

Error?

Derivation?

  1. Split input into 2 regimes
  2. if (+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) < -1.99999999999999993e-274 or 0.0 < (+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

    1. Initial program 88.4%

      \[x + \left(y - z\right) \cdot \frac{t - x}{a - z} \]
    2. Simplified94.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(t - x, \frac{y - z}{a - z}, x\right)} \]
      Proof

      [Start]88.4

      \[ x + \left(y - z\right) \cdot \frac{t - x}{a - z} \]

      +-commutative [=>]88.4

      \[ \color{blue}{\left(y - z\right) \cdot \frac{t - x}{a - z} + x} \]

      associate-*r/ [=>]71.0

      \[ \color{blue}{\frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z}} + x \]

      *-commutative [=>]71.0

      \[ \frac{\color{blue}{\left(t - x\right) \cdot \left(y - z\right)}}{a - z} + x \]

      associate-*r/ [<=]94.0

      \[ \color{blue}{\left(t - x\right) \cdot \frac{y - z}{a - z}} + x \]

      fma-def [=>]94.0

      \[ \color{blue}{\mathsf{fma}\left(t - x, \frac{y - z}{a - z}, x\right)} \]

    if -1.99999999999999993e-274 < (+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) < 0.0

    1. Initial program 5.1%

      \[x + \left(y - z\right) \cdot \frac{t - x}{a - z} \]
    2. Taylor expanded in z around inf 79.5%

      \[\leadsto \color{blue}{\left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} + t\right) - -1 \cdot \frac{a \cdot \left(t - x\right)}{z}} \]
    3. Simplified95.5%

      \[\leadsto \color{blue}{t - \frac{t - x}{\frac{z}{y - a}}} \]
      Proof

      [Start]79.5

      \[ \left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} + t\right) - -1 \cdot \frac{a \cdot \left(t - x\right)}{z} \]

      +-commutative [=>]79.5

      \[ \color{blue}{\left(t + -1 \cdot \frac{y \cdot \left(t - x\right)}{z}\right)} - -1 \cdot \frac{a \cdot \left(t - x\right)}{z} \]

      associate--l+ [=>]79.5

      \[ \color{blue}{t + \left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} - -1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right)} \]

      associate-*r/ [=>]79.5

      \[ t + \left(\color{blue}{\frac{-1 \cdot \left(y \cdot \left(t - x\right)\right)}{z}} - -1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right) \]

      associate-*r/ [=>]79.5

      \[ t + \left(\frac{-1 \cdot \left(y \cdot \left(t - x\right)\right)}{z} - \color{blue}{\frac{-1 \cdot \left(a \cdot \left(t - x\right)\right)}{z}}\right) \]

      div-sub [<=]79.5

      \[ t + \color{blue}{\frac{-1 \cdot \left(y \cdot \left(t - x\right)\right) - -1 \cdot \left(a \cdot \left(t - x\right)\right)}{z}} \]

      distribute-lft-out-- [=>]79.5

      \[ t + \frac{\color{blue}{-1 \cdot \left(y \cdot \left(t - x\right) - a \cdot \left(t - x\right)\right)}}{z} \]

      associate-*r/ [<=]79.5

      \[ t + \color{blue}{-1 \cdot \frac{y \cdot \left(t - x\right) - a \cdot \left(t - x\right)}{z}} \]

      mul-1-neg [=>]79.5

      \[ t + \color{blue}{\left(-\frac{y \cdot \left(t - x\right) - a \cdot \left(t - x\right)}{z}\right)} \]

      unsub-neg [=>]79.5

      \[ \color{blue}{t - \frac{y \cdot \left(t - x\right) - a \cdot \left(t - x\right)}{z}} \]

      distribute-rgt-out-- [=>]79.5

      \[ t - \frac{\color{blue}{\left(t - x\right) \cdot \left(y - a\right)}}{z} \]

      associate-/l* [=>]95.5

      \[ t - \color{blue}{\frac{t - x}{\frac{z}{y - a}}} \]
  3. Recombined 2 regimes into one program.
  4. Final simplification94.2%

    \[\leadsto \begin{array}{l} \mathbf{if}\;x + \left(z - y\right) \cdot \frac{x - t}{a - z} \leq -2 \cdot 10^{-274} \lor \neg \left(x + \left(z - y\right) \cdot \frac{x - t}{a - z} \leq 0\right):\\ \;\;\;\;\mathsf{fma}\left(t - x, \frac{y - z}{a - z}, x\right)\\ \mathbf{else}:\\ \;\;\;\;t + \frac{x - t}{\frac{z}{y - a}}\\ \end{array} \]

Alternatives

Alternative 1
Accuracy89.4%
Cost2633
\[\begin{array}{l} t_1 := x + \left(z - y\right) \cdot \frac{x - t}{a - z}\\ \mathbf{if}\;t_1 \leq -5 \cdot 10^{-259} \lor \neg \left(t_1 \leq 0\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t + \frac{x - t}{\frac{z}{y - a}}\\ \end{array} \]
Alternative 2
Accuracy60.2%
Cost1764
\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ t_2 := t - y \cdot \frac{x}{-z}\\ t_3 := x + t \cdot \frac{y}{a}\\ \mathbf{if}\;a \leq -3.3 \cdot 10^{+81}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{+51}:\\ \;\;\;\;\frac{x \cdot \left(-y\right)}{a - z}\\ \mathbf{elif}\;a \leq -72000000000000:\\ \;\;\;\;x - y \cdot \frac{x}{a}\\ \mathbf{elif}\;a \leq -5.5 \cdot 10^{-102}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.8 \cdot 10^{-184}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{-209}:\\ \;\;\;\;\frac{y}{\frac{-z}{t - x}}\\ \mathbf{elif}\;a \leq 2 \cdot 10^{-89}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 7.8 \cdot 10^{+83}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 3
Accuracy60.7%
Cost1764
\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ t_2 := t - y \cdot \frac{x}{-z}\\ t_3 := x + t \cdot \frac{y}{a}\\ \mathbf{if}\;a \leq -2.2 \cdot 10^{+82}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -2.05 \cdot 10^{+51}:\\ \;\;\;\;y \cdot \frac{t - x}{a - z}\\ \mathbf{elif}\;a \leq -8.5 \cdot 10^{+20}:\\ \;\;\;\;x - y \cdot \frac{x}{a}\\ \mathbf{elif}\;a \leq -4.2 \cdot 10^{-101}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.46 \cdot 10^{-179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.45 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{-209}:\\ \;\;\;\;\frac{y}{\frac{-z}{t - x}}\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{-89}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 2.85 \cdot 10^{+82}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 4
Accuracy60.2%
Cost1764
\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ t_2 := \left(t - x\right) \cdot \frac{y}{a - z}\\ t_3 := t - y \cdot \frac{x}{-z}\\ t_4 := x + t \cdot \frac{y}{a}\\ \mathbf{if}\;a \leq -2.4 \cdot 10^{+82}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{+51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1200000000000:\\ \;\;\;\;x - y \cdot \frac{x}{a}\\ \mathbf{elif}\;a \leq -1.12 \cdot 10^{-100}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -3.3 \cdot 10^{-185}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-247}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{-181}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{+82}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 5
Accuracy57.7%
Cost1700
\[\begin{array}{l} t_1 := t - y \cdot \frac{x}{-z}\\ t_2 := x + t \cdot \frac{y}{a}\\ \mathbf{if}\;a \leq -3.3 \cdot 10^{+81}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{+51}:\\ \;\;\;\;\frac{x \cdot \left(-y\right)}{a - z}\\ \mathbf{elif}\;a \leq -1.55 \cdot 10^{+17}:\\ \;\;\;\;x - y \cdot \frac{x}{a}\\ \mathbf{elif}\;a \leq -2.7 \cdot 10^{-48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.45 \cdot 10^{-70}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq -6.2 \cdot 10^{-96}:\\ \;\;\;\;t - t \cdot \frac{y}{z}\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-10}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1450000000000:\\ \;\;\;\;y \cdot \frac{t}{a - z}\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{+20}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 6
Accuracy63.7%
Cost1500
\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ t_2 := x + \left(t - x\right) \cdot \frac{y}{a}\\ t_3 := t - y \cdot \frac{x}{-z}\\ \mathbf{if}\;a \leq -1.15 \cdot 10^{+20}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.65 \cdot 10^{-101}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -6.8 \cdot 10^{-181}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 4.5 \cdot 10^{-246}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{-209}:\\ \;\;\;\;\left(t - x\right) \cdot \frac{y}{a - z}\\ \mathbf{elif}\;a \leq 6 \cdot 10^{-89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{+18}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 7
Accuracy54.2%
Cost1372
\[\begin{array}{l} t_1 := x + t \cdot \frac{y}{a}\\ \mathbf{if}\;a \leq -8.2 \cdot 10^{+81}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{+51}:\\ \;\;\;\;\frac{x \cdot \left(-y\right)}{a - z}\\ \mathbf{elif}\;a \leq -1.05 \cdot 10^{-73}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-9}:\\ \;\;\;\;t - t \cdot \frac{y}{z}\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{+14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.1 \cdot 10^{+19}:\\ \;\;\;\;t - a \cdot \frac{x}{z}\\ \mathbf{elif}\;a \leq 10^{+85}:\\ \;\;\;\;x - y \cdot \frac{x}{a}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 8
Accuracy54.2%
Cost1372
\[\begin{array}{l} t_1 := x + t \cdot \frac{y}{a}\\ \mathbf{if}\;a \leq -3.3 \cdot 10^{+81}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{+51}:\\ \;\;\;\;\frac{x \cdot \left(-y\right)}{a - z}\\ \mathbf{elif}\;a \leq -1.9 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{-9}:\\ \;\;\;\;t - t \cdot \frac{y}{z}\\ \mathbf{elif}\;a \leq 3.1 \cdot 10^{+14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4 \cdot 10^{+20}:\\ \;\;\;\;t - a \cdot \frac{x}{z}\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{+85}:\\ \;\;\;\;x - \frac{x}{\frac{a}{y}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 9
Accuracy70.8%
Cost1232
\[\begin{array}{l} t_1 := x + \left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{if}\;a \leq -2.75 \cdot 10^{+16}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.7 \cdot 10^{-48}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{elif}\;a \leq -3.7 \cdot 10^{-70}:\\ \;\;\;\;x + \frac{z}{a} \cdot \left(x - t\right)\\ \mathbf{elif}\;a \leq 1.72 \cdot 10^{+18}:\\ \;\;\;\;t + \frac{x - t}{\frac{z}{y - a}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 10
Accuracy55.1%
Cost1108
\[\begin{array}{l} t_1 := x + t \cdot \frac{y}{a}\\ \mathbf{if}\;a \leq -5.4 \cdot 10^{-73}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-9}:\\ \;\;\;\;t - t \cdot \frac{y}{z}\\ \mathbf{elif}\;a \leq 1.35 \cdot 10^{+14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.65 \cdot 10^{+21}:\\ \;\;\;\;t - a \cdot \frac{x}{z}\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{+51}:\\ \;\;\;\;\left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 11
Accuracy55.2%
Cost1108
\[\begin{array}{l} t_1 := x + t \cdot \frac{y}{a}\\ \mathbf{if}\;a \leq -3.7 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-9}:\\ \;\;\;\;t - t \cdot \frac{y}{z}\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{+14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 6.4 \cdot 10^{+18}:\\ \;\;\;\;t - a \cdot \frac{x}{z}\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+88}:\\ \;\;\;\;x - y \cdot \frac{x}{a}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 12
Accuracy72.3%
Cost1100
\[\begin{array}{l} t_1 := t + \frac{x - t}{\frac{z}{y - a}}\\ \mathbf{if}\;z \leq -2.35 \cdot 10^{+126}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{+39}:\\ \;\;\;\;x + \frac{z}{a - z} \cdot \left(x - t\right)\\ \mathbf{elif}\;z \leq 5.8 \cdot 10^{+24}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 13
Accuracy68.9%
Cost972
\[\begin{array}{l} t_1 := t + \frac{x}{z} \cdot \left(y - a\right)\\ \mathbf{if}\;z \leq -2.8 \cdot 10^{+171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{+40}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{+47}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 14
Accuracy43.4%
Cost844
\[\begin{array}{l} \mathbf{if}\;z \leq -2.05 \cdot 10^{+39}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -2.15 \cdot 10^{-48}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq -8.5 \cdot 10^{-110}:\\ \;\;\;\;\left(y - z\right) \cdot \frac{t}{a}\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{+77}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]
Alternative 15
Accuracy57.1%
Cost713
\[\begin{array}{l} \mathbf{if}\;z \leq -2.2 \cdot 10^{+40} \lor \neg \left(z \leq 2 \cdot 10^{+95}\right):\\ \;\;\;\;t - a \cdot \frac{x}{z}\\ \mathbf{else}:\\ \;\;\;\;x + t \cdot \frac{y}{a}\\ \end{array} \]
Alternative 16
Accuracy53.5%
Cost712
\[\begin{array}{l} \mathbf{if}\;z \leq -1.55 \cdot 10^{+40}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 2 \cdot 10^{+95}:\\ \;\;\;\;x + t \cdot \frac{y}{a}\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]
Alternative 17
Accuracy44.1%
Cost328
\[\begin{array}{l} \mathbf{if}\;z \leq -1.1 \cdot 10^{+40}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 3.75 \cdot 10^{+74}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]
Alternative 18
Accuracy28.2%
Cost64
\[t \]

Error

Reproduce?

herbie shell --seed 2023151 
(FPCore (x y z t a)
  :name "Numeric.Signal:interpolate   from hsignal-0.2.7.1"
  :precision binary64
  (+ x (* (- y z) (/ (- t x) (- a z)))))