Average Error: 2.3 → 2.3
Time: 16.3s
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 r17208642 = x;
        double r17208643 = y;
        double r17208644 = r17208642 - r17208643;
        double r17208645 = z;
        double r17208646 = r17208645 - r17208643;
        double r17208647 = r17208644 / r17208646;
        double r17208648 = t;
        double r17208649 = r17208647 * r17208648;
        return r17208649;
}
↓
double f(double x, double y, double z, double t) {
        double r17208650 = x;
        double r17208651 = y;
        double r17208652 = r17208650 - r17208651;
        double r17208653 = z;
        double r17208654 = r17208653 - r17208651;
        double r17208655 = r17208652 / r17208654;
        double r17208656 = t;
        double r17208657 = r17208655 * r17208656;
        return r17208657;
}

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 2019164 +o rules:numerics
(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))