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

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

double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (y - z)) * ((double) (((double) (t - x)) / ((double) (a - z))))))));
}

Reproduce

herbie shell --seed 2020162 
(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)))))