Average Error: 2.3 → 2.3
Time: 7.8s
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 r1208186 = x;
        double r1208187 = y;
        double r1208188 = r1208186 - r1208187;
        double r1208189 = z;
        double r1208190 = r1208189 - r1208187;
        double r1208191 = r1208188 / r1208190;
        double r1208192 = t;
        double r1208193 = r1208191 * r1208192;
        return r1208193;
}
↓
double f(double x, double y, double z, double t) {
        double r1208194 = x;
        double r1208195 = y;
        double r1208196 = r1208194 - r1208195;
        double r1208197 = z;
        double r1208198 = r1208197 - r1208195;
        double r1208199 = r1208196 / r1208198;
        double r1208200 = t;
        double r1208201 = r1208199 * r1208200;
        return r1208201;
}

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 2020047 
(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))