Numeric.Signal:interpolate from hsignal-0.2.7.1

Average Accuracy: 76.5% → 90.0%

Time: 38.1s

Precision: binary64

Cost: 9804

Math

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

↓

\[\begin{array}{l} t_1 := x + \frac{x - t}{a - z} \cdot \left(z - y\right)\\ t_2 := \frac{z}{t - x}\\ \mathbf{if}\;t_1 \leq -1 \cdot 10^{-300}:\\ \;\;\;\;x - \frac{z - y}{\frac{a - z}{t - x}}\\ \mathbf{elif}\;t_1 \leq 4 \cdot 10^{-309}:\\ \;\;\;\;\mathsf{fma}\left(-1, \frac{y}{t_2}, t\right) + \frac{a}{t_2}\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+297}:\\ \;\;\;\;\mathsf{fma}\left(y - z, \frac{t - x}{a - z}, x\right)\\ \mathbf{else}:\\ \;\;\;\;x - \frac{\left(y - z\right) \cdot \left(x - t\right)}{a - z}\\ \end{array} \]

FPCore

(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 (* (/ (- x t) (- a z)) (- z y)))) (t_2 (/ z (- t x))))
   (if (<= t_1 -1e-300)
     (- x (/ (- z y) (/ (- a z) (- t x))))
     (if (<= t_1 4e-309)
       (+ (fma -1.0 (/ y t_2) t) (/ a t_2))
       (if (<= t_1 5e+297)
         (fma (- y z) (/ (- t x) (- a z)) x)
         (- x (/ (* (- y z) (- x t)) (- a z))))))))

C

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 + (((x - t) / (a - z)) * (z - y));
	double t_2 = z / (t - x);
	double tmp;
	if (t_1 <= -1e-300) {
		tmp = x - ((z - y) / ((a - z) / (t - x)));
	} else if (t_1 <= 4e-309) {
		tmp = fma(-1.0, (y / t_2), t) + (a / t_2);
	} else if (t_1 <= 5e+297) {
		tmp = fma((y - z), ((t - x) / (a - z)), x);
	} else {
		tmp = x - (((y - z) * (x - t)) / (a - z));
	}
	return tmp;
}

Julia

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(Float64(x - t) / Float64(a - z)) * Float64(z - y)))
	t_2 = Float64(z / Float64(t - x))
	tmp = 0.0
	if (t_1 <= -1e-300)
		tmp = Float64(x - Float64(Float64(z - y) / Float64(Float64(a - z) / Float64(t - x))));
	elseif (t_1 <= 4e-309)
		tmp = Float64(fma(-1.0, Float64(y / t_2), t) + Float64(a / t_2));
	elseif (t_1 <= 5e+297)
		tmp = fma(Float64(y - z), Float64(Float64(t - x) / Float64(a - z)), x);
	else
		tmp = Float64(x - Float64(Float64(Float64(y - z) * Float64(x - t)) / Float64(a - z)));
	end
	return tmp
end

Wolfram

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[(N[(x - t), $MachinePrecision] / N[(a - z), $MachinePrecision]), $MachinePrecision] * N[(z - y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(z / N[(t - x), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$1, -1e-300], N[(x - N[(N[(z - y), $MachinePrecision] / N[(N[(a - z), $MachinePrecision] / N[(t - x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$1, 4e-309], N[(N[(-1.0 * N[(y / t$95$2), $MachinePrecision] + t), $MachinePrecision] + N[(a / t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$1, 5e+297], N[(N[(y - z), $MachinePrecision] * N[(N[(t - x), $MachinePrecision] / N[(a - z), $MachinePrecision]), $MachinePrecision] + x), $MachinePrecision], N[(x - N[(N[(N[(y - z), $MachinePrecision] * N[(x - t), $MachinePrecision]), $MachinePrecision] / N[(a - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if (+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) < -1.00000000000000003e-300

   1. Initial program 87.8%

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

   2. Applied egg-rr 87.9%

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

      [Start] 87.8	\[ x + \left(y - z\right) \cdot \frac{t - x}{a - z} \]
      clear-num [=>] 87.4	\[ x + \left(y - z\right) \cdot \color{blue}{\frac{1}{\frac{a - z}{t - x}}} \]
      un-div-inv [=>] 87.9	\[ x + \color{blue}{\frac{y - z}{\frac{a - z}{t - x}}} \]

   if -1.00000000000000003e-300 < (+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) < 3.9999999999999977e-309

   1. Initial program 3.6%

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

   2. Taylor expanded in z around inf 83.5%

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

   3. Simplified 99.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(-1, \frac{y}{\frac{z}{t - x}}, t\right) - \left(-\frac{a}{\frac{z}{t - x}}\right)} \]
      Proof

      [Start] 83.5	\[ \left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} + t\right) - -1 \cdot \frac{a \cdot \left(t - x\right)}{z} \]
      fma-def [=>] 83.5	\[ \color{blue}{\mathsf{fma}\left(-1, \frac{y \cdot \left(t - x\right)}{z}, t\right)} - -1 \cdot \frac{a \cdot \left(t - x\right)}{z} \]
      associate-/l* [=>] 90.9	\[ \mathsf{fma}\left(-1, \color{blue}{\frac{y}{\frac{z}{t - x}}}, t\right) - -1 \cdot \frac{a \cdot \left(t - x\right)}{z} \]
      mul-1-neg [=>] 90.9	\[ \mathsf{fma}\left(-1, \frac{y}{\frac{z}{t - x}}, t\right) - \color{blue}{\left(-\frac{a \cdot \left(t - x\right)}{z}\right)} \]
      associate-/l* [=>] 99.3	\[ \mathsf{fma}\left(-1, \frac{y}{\frac{z}{t - x}}, t\right) - \left(-\color{blue}{\frac{a}{\frac{z}{t - x}}}\right) \]

   if 3.9999999999999977e-309 < (+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) < 4.9999999999999998e297

   1. Initial program 91.0%

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

   2. Simplified 91.0%

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

      [Start] 91.0	\[ x + \left(y - z\right) \cdot \frac{t - x}{a - z} \]
      +-commutative [=>] 91.0	\[ \color{blue}{\left(y - z\right) \cdot \frac{t - x}{a - z} + x} \]
      fma-def [=>] 91.0	\[ \color{blue}{\mathsf{fma}\left(y - z, \frac{t - x}{a - z}, x\right)} \]

   if 4.9999999999999998e297 < (+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

   1. Initial program 42.0%

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

   2. Simplified 58.4%

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

      [Start] 42.0	\[ x + \left(y - z\right) \cdot \frac{t - x}{a - z} \]
      associate-*r/ [=>] 58.4	\[ x + \color{blue}{\frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z}} \]

3. Recombined 4 regimes into one program.

4. Final simplification 90.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x + \frac{x - t}{a - z} \cdot \left(z - y\right) \leq -1 \cdot 10^{-300}:\\ \;\;\;\;x - \frac{z - y}{\frac{a - z}{t - x}}\\ \mathbf{elif}\;x + \frac{x - t}{a - z} \cdot \left(z - y\right) \leq 4 \cdot 10^{-309}:\\ \;\;\;\;\mathsf{fma}\left(-1, \frac{y}{\frac{z}{t - x}}, t\right) + \frac{a}{\frac{z}{t - x}}\\ \mathbf{elif}\;x + \frac{x - t}{a - z} \cdot \left(z - y\right) \leq 5 \cdot 10^{+297}:\\ \;\;\;\;\mathsf{fma}\left(y - z, \frac{t - x}{a - z}, x\right)\\ \mathbf{else}:\\ \;\;\;\;x - \frac{\left(y - z\right) \cdot \left(x - t\right)}{a - z}\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	89.7%
Cost	9804

\[\begin{array}{l} t_1 := x + \frac{x - t}{a - z} \cdot \left(z - y\right)\\ \mathbf{if}\;t_1 \leq -1 \cdot 10^{-300}:\\ \;\;\;\;x - \frac{z - y}{\frac{a - z}{t - x}}\\ \mathbf{elif}\;t_1 \leq 4 \cdot 10^{-309}:\\ \;\;\;\;\left(t + \left(t - x\right) \cdot \frac{a}{z}\right) + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+297}:\\ \;\;\;\;\mathsf{fma}\left(y - z, \frac{t - x}{a - z}, x\right)\\ \mathbf{else}:\\ \;\;\;\;x - \frac{\left(y - z\right) \cdot \left(x - t\right)}{a - z}\\ \end{array} \]

Alternative 2
Accuracy	89.3%
Cost	3532

\[\begin{array}{l} t_1 := x + \frac{x - t}{a - z} \cdot \left(z - y\right)\\ \mathbf{if}\;t_1 \leq -1 \cdot 10^{-300}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq 4 \cdot 10^{-309}:\\ \;\;\;\;t + \frac{t - x}{\frac{z}{a - y}}\\ \mathbf{elif}\;t_1 \leq 4 \cdot 10^{+297}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x - t \cdot \frac{z}{a - z}\\ \end{array} \]

Alternative 3
Accuracy	89.7%
Cost	3532

\[\begin{array}{l} t_1 := x + \frac{x - t}{a - z} \cdot \left(z - y\right)\\ \mathbf{if}\;t_1 \leq -1 \cdot 10^{-300}:\\ \;\;\;\;x - \frac{z - y}{\frac{a - z}{t - x}}\\ \mathbf{elif}\;t_1 \leq 4 \cdot 10^{-309}:\\ \;\;\;\;t + \frac{t - x}{\frac{z}{a - y}}\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+297}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x - \frac{\left(y - z\right) \cdot \left(x - t\right)}{a - z}\\ \end{array} \]

Alternative 4
Accuracy	89.7%
Cost	3532

\[\begin{array}{l} t_1 := x + \frac{x - t}{a - z} \cdot \left(z - y\right)\\ \mathbf{if}\;t_1 \leq -1 \cdot 10^{-300}:\\ \;\;\;\;x - \frac{z - y}{\frac{a - z}{t - x}}\\ \mathbf{elif}\;t_1 \leq 4 \cdot 10^{-309}:\\ \;\;\;\;\left(t + \left(t - x\right) \cdot \frac{a}{z}\right) + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+297}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x - \frac{\left(y - z\right) \cdot \left(x - t\right)}{a - z}\\ \end{array} \]

Alternative 5
Accuracy	58.9%
Cost	1632

\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ t_2 := t + y \cdot \frac{x}{z}\\ t_3 := x + \frac{y}{\frac{a}{t}}\\ \mathbf{if}\;z \leq -2.6 \cdot 10^{+151}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{+38}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq -1.5 \cdot 10^{-53}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 10500000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{+30}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 3.5 \cdot 10^{+144}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.8 \cdot 10^{+214}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t - \frac{x}{\frac{-z}{y}}\\ \end{array} \]

Alternative 6
Accuracy	58.4%
Cost	1632

\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ t_2 := x + \frac{y}{\frac{a}{t}}\\ \mathbf{if}\;z \leq -2.35 \cdot 10^{+151}:\\ \;\;\;\;t + y \cdot \frac{x}{z}\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{+39}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq -1.02 \cdot 10^{-52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-153}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 215000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.4 \cdot 10^{+29}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 8.1 \cdot 10^{+93}:\\ \;\;\;\;y \cdot \frac{t - x}{a - z}\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{+213}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t - \frac{x}{\frac{-z}{y}}\\ \end{array} \]

Alternative 7
Accuracy	62.4%
Cost	1632

\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ \mathbf{if}\;z \leq -5.6 \cdot 10^{+151}:\\ \;\;\;\;t + y \cdot \frac{x}{z}\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{+39}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq -6.5 \cdot 10^{-55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{-153}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{elif}\;z \leq 11000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{+30}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t}}\\ \mathbf{elif}\;z \leq 8.1 \cdot 10^{+93}:\\ \;\;\;\;y \cdot \frac{t - x}{a - z}\\ \mathbf{elif}\;z \leq 3.3 \cdot 10^{+214}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t - \frac{x}{\frac{-z}{y}}\\ \end{array} \]

Alternative 8
Accuracy	64.4%
Cost	1500

\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ \mathbf{if}\;z \leq -9.8 \cdot 10^{+150}:\\ \;\;\;\;t + y \cdot \frac{x}{z}\\ \mathbf{elif}\;z \leq -2.8 \cdot 10^{+39}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq -2.5 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.36 \cdot 10^{-172}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{elif}\;z \leq 1.72 \cdot 10^{+31}:\\ \;\;\;\;x + \frac{y - z}{\frac{a}{t}}\\ \mathbf{elif}\;z \leq 4.6 \cdot 10^{+94}:\\ \;\;\;\;y \cdot \frac{t - x}{a - z}\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{+214}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t - \frac{x}{\frac{-z}{y}}\\ \end{array} \]

Alternative 9
Accuracy	66.1%
Cost	1500

\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ t_2 := t + y \cdot \frac{x - t}{z}\\ \mathbf{if}\;z \leq -9.8 \cdot 10^{+150}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.5 \cdot 10^{+39}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq -3 \cdot 10^{-53}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-172}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{elif}\;z \leq 1.3 \cdot 10^{+31}:\\ \;\;\;\;x + \frac{y - z}{\frac{a}{t}}\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{+143}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.8 \cdot 10^{+215}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t - \frac{x}{\frac{-z}{y}}\\ \end{array} \]

Alternative 10
Accuracy	76.9%
Cost	1497

\[\begin{array}{l} t_1 := x + \frac{y - z}{\frac{a - z}{t}}\\ t_2 := t + \frac{t - x}{\frac{z}{a - y}}\\ \mathbf{if}\;z \leq -9.6 \cdot 10^{+151}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.45 \cdot 10^{-104}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 10^{-172}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{elif}\;z \leq 1.85 \cdot 10^{+31} \lor \neg \left(z \leq 1.16 \cdot 10^{+142}\right) \land z \leq 1.4 \cdot 10^{+177}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 11
Accuracy	70.8%
Cost	1496

\[\begin{array}{l} t_1 := t + \frac{t - x}{\frac{z}{a - y}}\\ \mathbf{if}\;z \leq -2.35 \cdot 10^{+151}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -3.9 \cdot 10^{+37}:\\ \;\;\;\;x - t \cdot \frac{z}{a - z}\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{-53}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{elif}\;z \leq 3.05 \cdot 10^{-108}:\\ \;\;\;\;x + \frac{y - z}{\frac{a}{t - x}}\\ \mathbf{elif}\;z \leq 135000:\\ \;\;\;\;\frac{\left(y - z\right) \cdot t}{a - z}\\ \mathbf{elif}\;z \leq 1.3 \cdot 10^{+26}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 12
Accuracy	67.8%
Cost	1368

\[\begin{array}{l} t_1 := t + y \cdot \frac{x - t}{z}\\ \mathbf{if}\;z \leq -3.3 \cdot 10^{+151}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -6.4 \cdot 10^{-57}:\\ \;\;\;\;x - t \cdot \frac{z}{a - z}\\ \mathbf{elif}\;z \leq 1.5 \cdot 10^{-172}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{elif}\;z \leq 1.55 \cdot 10^{+30}:\\ \;\;\;\;x + \frac{y - z}{\frac{a}{t}}\\ \mathbf{elif}\;z \leq 7.2 \cdot 10^{+142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{+214}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{else}:\\ \;\;\;\;t - \frac{x}{\frac{-z}{y}}\\ \end{array} \]

Alternative 13
Accuracy	71.6%
Cost	1364

\[\begin{array}{l} t_1 := t + \frac{t - x}{\frac{z}{a - y}}\\ \mathbf{if}\;z \leq -9.8 \cdot 10^{+150}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{+39}:\\ \;\;\;\;x - t \cdot \frac{z}{a - z}\\ \mathbf{elif}\;z \leq -7 \cdot 10^{-57}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{elif}\;z \leq 1.18 \cdot 10^{-172}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a}\\ \mathbf{elif}\;z \leq 3 \cdot 10^{+28}:\\ \;\;\;\;x + \frac{y - z}{\frac{a}{t}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 14
Accuracy	84.5%
Cost	1360

\[\begin{array}{l} t_1 := x + \frac{x - t}{a - z} \cdot \left(z - y\right)\\ t_2 := t + \frac{t - x}{\frac{z}{a - y}}\\ \mathbf{if}\;z \leq -1.5 \cdot 10^{+152}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -5 \cdot 10^{-221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{-63}:\\ \;\;\;\;x - \frac{\left(y - z\right) \cdot \left(x - t\right)}{a - z}\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{+176}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Accuracy	45.8%
Cost	1240

\[\begin{array}{l} t_1 := t \cdot \left(1 - \frac{y}{z}\right)\\ \mathbf{if}\;z \leq -3.2 \cdot 10^{+151}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.42 \cdot 10^{-84}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 2.6 \cdot 10^{-69}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{-5}:\\ \;\;\;\;y \cdot \frac{t}{a - z}\\ \mathbf{elif}\;z \leq 1.72 \cdot 10^{+31}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{+93}:\\ \;\;\;\;x \cdot \frac{y}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 16
Accuracy	50.5%
Cost	1108

\[\begin{array}{l} t_1 := t + y \cdot \frac{x}{z}\\ \mathbf{if}\;z \leq -1 \cdot 10^{+151}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.35 \cdot 10^{-85}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 2.95 \cdot 10^{-64}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-5}:\\ \;\;\;\;y \cdot \frac{t}{a - z}\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{+26}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 17
Accuracy	45.1%
Cost	976

\[\begin{array}{l} \mathbf{if}\;z \leq -2.6 \cdot 10^{+151}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -1.52 \cdot 10^{-85}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 2 \cdot 10^{-67}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{-5}:\\ \;\;\;\;y \cdot \frac{t}{a - z}\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{+32}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 18
Accuracy	59.2%
Cost	908

\[\begin{array}{l} \mathbf{if}\;z \leq -3.7 \cdot 10^{+151}:\\ \;\;\;\;t + y \cdot \frac{x}{z}\\ \mathbf{elif}\;z \leq -7 \cdot 10^{-57}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 5 \cdot 10^{+28}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t}}\\ \mathbf{else}:\\ \;\;\;\;t - \frac{x}{\frac{-z}{y}}\\ \end{array} \]

Alternative 19
Accuracy	44.8%
Cost	852

\[\begin{array}{l} \mathbf{if}\;a \leq -1.6 \cdot 10^{+92}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq -2.85 \cdot 10^{-74}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;a \leq -4.6 \cdot 10^{-76}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq 2.35 \cdot 10^{-212}:\\ \;\;\;\;t\\ \mathbf{elif}\;a \leq 1.12 \cdot 10^{+70}:\\ \;\;\;\;x + t\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 20
Accuracy	59.2%
Cost	844

\[\begin{array}{l} t_1 := t + y \cdot \frac{x}{z}\\ \mathbf{if}\;z \leq -1 \cdot 10^{+151}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -6 \cdot 10^{-53}:\\ \;\;\;\;x + t\\ \mathbf{elif}\;z \leq 3 \cdot 10^{+30}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 21
Accuracy	44.1%
Cost	328

\[\begin{array}{l} \mathbf{if}\;z \leq -1.05 \cdot 10^{-52}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 4.6 \cdot 10^{+31}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 22
Accuracy	3.0%
Cost	64

\[0 \]

Alternative 23
Accuracy	29.2%
Cost	64

\[t \]

Reproduce

herbie shell --seed 2023133 
(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)))))