Average Error: 2.0 → 10.9
Time: 10.6s
Precision: 64
\[\frac{x - y}{z - y} \cdot t\]
↓
\[\frac{t}{z - y} \cdot \left(x - y\right)\]
\frac{x - y}{z - y} \cdot t
↓
\frac{t}{z - y} \cdot \left(x - y\right)
double f(double x, double y, double z, double t) {
        double r321078 = x;
        double r321079 = y;
        double r321080 = r321078 - r321079;
        double r321081 = z;
        double r321082 = r321081 - r321079;
        double r321083 = r321080 / r321082;
        double r321084 = t;
        double r321085 = r321083 * r321084;
        return r321085;
}
↓
double f(double x, double y, double z, double t) {
        double r321086 = t;
        double r321087 = z;
        double r321088 = y;
        double r321089 = r321087 - r321088;
        double r321090 = r321086 / r321089;
        double r321091 = x;
        double r321092 = r321091 - r321088;
        double r321093 = r321090 * r321092;
        return r321093;
}

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

Original2.0
Target2.0
Herbie10.9
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.0

    \[\frac{x - y}{z - y} \cdot t\]
  2. Using strategy rm

  3. Applied div-sub2.0

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

  4. Final simplification10.9

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

Reproduce

herbie shell --seed 2019297 
(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))