Average Error: 2.1 → 2.1
Time: 16.7s
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 r26319508 = x;
        double r26319509 = y;
        double r26319510 = r26319508 - r26319509;
        double r26319511 = z;
        double r26319512 = r26319511 - r26319509;
        double r26319513 = r26319510 / r26319512;
        double r26319514 = t;
        double r26319515 = r26319513 * r26319514;
        return r26319515;
}
↓
double f(double x, double y, double z, double t) {
        double r26319516 = x;
        double r26319517 = y;
        double r26319518 = r26319516 - r26319517;
        double r26319519 = z;
        double r26319520 = r26319519 - r26319517;
        double r26319521 = r26319518 / r26319520;
        double r26319522 = t;
        double r26319523 = r26319521 * r26319522;
        return r26319523;
}

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 +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))