Average Error: 2.2 → 2.2
Time: 6.1s
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 r479452 = x;
        double r479453 = y;
        double r479454 = r479452 - r479453;
        double r479455 = z;
        double r479456 = r479455 - r479453;
        double r479457 = r479454 / r479456;
        double r479458 = t;
        double r479459 = r479457 * r479458;
        return r479459;
}
↓
double f(double x, double y, double z, double t) {
        double r479460 = x;
        double r479461 = y;
        double r479462 = r479460 - r479461;
        double r479463 = z;
        double r479464 = r479463 - r479461;
        double r479465 = r479462 / r479464;
        double r479466 = t;
        double r479467 = r479465 * r479466;
        return r479467;
}

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
Target2.1
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 2020024 +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))