Average Error: 2.3 → 2.3
Time: 6.8s
Precision: 64
\[\frac{x - y}{z - y} \cdot t\]
↓
\[\frac{x - y}{z - y} \cdot t\]
\frac{x - y}{z - y} \cdot t
↓
\frac{x - y}{z - y} \cdot t
double f(double x, double y, double z, double t) {
        double r317927 = x;
        double r317928 = y;
        double r317929 = r317927 - r317928;
        double r317930 = z;
        double r317931 = r317930 - r317928;
        double r317932 = r317929 / r317931;
        double r317933 = t;
        double r317934 = r317932 * r317933;
        return r317934;
}
↓
double f(double x, double y, double z, double t) {
        double r317935 = x;
        double r317936 = y;
        double r317937 = r317935 - r317936;
        double r317938 = z;
        double r317939 = r317938 - r317936;
        double r317940 = r317937 / r317939;
        double r317941 = t;
        double r317942 = r317940 * r317941;
        return r317942;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original2.3
Target2.3
Herbie2.3
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.3

    \[\frac{x - y}{z - y} \cdot t\]

  2. Final simplification2.3

    \[\leadsto \frac{x - y}{z - y} \cdot t\]

Reproduce

herbie shell --seed 1978988140 
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cput from hsignal-0.2.7.1"
  :precision binary64

  :herbie-target
  (/ t (/ (- z y) (- x y)))

  (* (/ (- x y) (- z y)) t))