Average Error: 2.1 → 2.1
Time: 18.5s
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 r280560 = x;
        double r280561 = y;
        double r280562 = r280560 - r280561;
        double r280563 = z;
        double r280564 = r280563 - r280561;
        double r280565 = r280562 / r280564;
        double r280566 = t;
        double r280567 = r280565 * r280566;
        return r280567;
}
↓
double f(double x, double y, double z, double t) {
        double r280568 = x;
        double r280569 = y;
        double r280570 = r280568 - r280569;
        double r280571 = z;
        double r280572 = r280571 - r280569;
        double r280573 = r280570 / r280572;
        double r280574 = t;
        double r280575 = r280573 * r280574;
        return r280575;
}

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
Target2.1
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 2019325 +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))