Average Error: 2.1 → 2.1
Time: 17.3s
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 r24146951 = x;
        double r24146952 = y;
        double r24146953 = r24146951 - r24146952;
        double r24146954 = z;
        double r24146955 = r24146954 - r24146952;
        double r24146956 = r24146953 / r24146955;
        double r24146957 = t;
        double r24146958 = r24146956 * r24146957;
        return r24146958;
}
↓
double f(double x, double y, double z, double t) {
        double r24146959 = x;
        double r24146960 = y;
        double r24146961 = r24146959 - r24146960;
        double r24146962 = z;
        double r24146963 = r24146962 - r24146960;
        double r24146964 = r24146961 / r24146963;
        double r24146965 = t;
        double r24146966 = r24146964 * r24146965;
        return r24146966;
}

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

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

Derivation

  1. Initial program 2.1

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

  2. Final simplification2.1

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

Reproduce

herbie shell --seed 2019174 
(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))