Average Error: 2.2 → 2.2
Time: 11.0s
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 r615554 = x;
        double r615555 = y;
        double r615556 = r615554 - r615555;
        double r615557 = z;
        double r615558 = r615557 - r615555;
        double r615559 = r615556 / r615558;
        double r615560 = t;
        double r615561 = r615559 * r615560;
        return r615561;
}
↓
double f(double x, double y, double z, double t) {
        double r615562 = x;
        double r615563 = y;
        double r615564 = r615562 - r615563;
        double r615565 = z;
        double r615566 = r615565 - r615563;
        double r615567 = r615564 / r615566;
        double r615568 = t;
        double r615569 = r615567 * r615568;
        return r615569;
}

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
Target2.3
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 2020042 +o rules:numerics
(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))