Average Error: 2.1 → 2.1
Time: 18.1s
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 r30823415 = x;
        double r30823416 = y;
        double r30823417 = r30823415 - r30823416;
        double r30823418 = z;
        double r30823419 = r30823418 - r30823416;
        double r30823420 = r30823417 / r30823419;
        double r30823421 = t;
        double r30823422 = r30823420 * r30823421;
        return r30823422;
}
↓
double f(double x, double y, double z, double t) {
        double r30823423 = x;
        double r30823424 = y;
        double r30823425 = r30823423 - r30823424;
        double r30823426 = z;
        double r30823427 = r30823426 - r30823424;
        double r30823428 = r30823425 / r30823427;
        double r30823429 = t;
        double r30823430 = r30823428 * r30823429;
        return r30823430;
}

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))