Average Error: 2.2 → 2.2
Time: 13.0s
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 r225990 = x;
        double r225991 = y;
        double r225992 = r225990 - r225991;
        double r225993 = z;
        double r225994 = r225993 - r225991;
        double r225995 = r225992 / r225994;
        double r225996 = t;
        double r225997 = r225995 * r225996;
        return r225997;
}
↓
double f(double x, double y, double z, double t) {
        double r225998 = x;
        double r225999 = y;
        double r226000 = r225998 - r225999;
        double r226001 = z;
        double r226002 = r226001 - r225999;
        double r226003 = r226000 / r226002;
        double r226004 = t;
        double r226005 = r226003 * r226004;
        return r226005;
}

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

Original2.2
Target2.1
Herbie2.2
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.2

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

  2. Final simplification2.2

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

Reproduce

herbie shell --seed 2019196 
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cput from hsignal-0.2.7.1"

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

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